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Finding the Fourth Proportional to 5,724,907.76, 7,900,271.16 and 3,146,587.82

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Solution

The fourth proportional to 5,724,907.76, 7,900,271.16 and 3,146,587.82 is: 4,342,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724,907.76 : 7,900,271.16 = 3,146,587.82 : x
  2. Step 2: Convert to fraction form
    5,724,907.76/7,900,271.16 = 3,146,587.82/x
  3. Step 3: Cross multiply
    5,724,907.76x = 7,900,271.16 × 3,146,587.82
  4. Step 4: Simplify right side
    5,724,907.76x = 24,858,897,006,753.27
  5. Step 5: Solve for x
    x = 24,858,897,006,753.27/5,724,907.76
  6. Step 6: Final answer
    x = 4,342,235.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.