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Finding the Fourth Proportional to 5,648,978.19, 7,795,952.09 and 3,168,431.76

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Solution

The fourth proportional to 5,648,978.19, 7,795,952.09 and 3,168,431.76 is: 4,372,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648,978.19 : 7,795,952.09 = 3,168,431.76 : x
  2. Step 2: Convert to fraction form
    5,648,978.19/7,795,952.09 = 3,168,431.76/x
  3. Step 3: Cross multiply
    5,648,978.19x = 7,795,952.09 × 3,168,431.76
  4. Step 4: Simplify right side
    5,648,978.19x = 24,700,942,201,394.38
  5. Step 5: Solve for x
    x = 24,700,942,201,394.38/5,648,978.19
  6. Step 6: Final answer
    x = 4,372,638.97

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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.