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Finding the Fourth Proportional to 4,707.31, 6,502.85 and 3,761.86

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Solution

The fourth proportional to 4,707.31, 6,502.85 and 3,761.86 is: 5,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.31 : 6,502.85 = 3,761.86 : x
  2. Step 2: Convert to fraction form
    4,707.31/6,502.85 = 3,761.86/x
  3. Step 3: Cross multiply
    4,707.31x = 6,502.85 × 3,761.86
  4. Step 4: Simplify right side
    4,707.31x = 24,462,811.30
  5. Step 5: Solve for x
    x = 24,462,811.30/4,707.31
  6. Step 6: Final answer
    x = 5,196.77

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