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Finding the Fourth Proportional to 4,472.70, 6,712.14 and 1,840.38

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Solution

The fourth proportional to 4,472.70, 6,712.14 and 1,840.38 is: 2,761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.70 : 6,712.14 = 1,840.38 : x
  2. Step 2: Convert to fraction form
    4,472.70/6,712.14 = 1,840.38/x
  3. Step 3: Cross multiply
    4,472.70x = 6,712.14 × 1,840.38
  4. Step 4: Simplify right side
    4,472.70x = 12,352,888.21
  5. Step 5: Solve for x
    x = 12,352,888.21/4,472.70
  6. Step 6: Final answer
    x = 2,761.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.