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Finding the Fourth Proportional to 4,707.38, 6,502.94 and 3,761.90

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Solution

The fourth proportional to 4,707.38, 6,502.94 and 3,761.90 is: 5,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.38 : 6,502.94 = 3,761.90 : x
  2. Step 2: Convert to fraction form
    4,707.38/6,502.94 = 3,761.90/x
  3. Step 3: Cross multiply
    4,707.38x = 6,502.94 × 3,761.90
  4. Step 4: Simplify right side
    4,707.38x = 24,463,397.15
  5. Step 5: Solve for x
    x = 24,463,397.15/4,707.38
  6. Step 6: Final answer
    x = 5,196.82

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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.