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Finding the Fourth Proportional to 4,702.48, 6,489.42 and 2,606.61

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Solution

The fourth proportional to 4,702.48, 6,489.42 and 2,606.61 is: 3,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.48 : 6,489.42 = 2,606.61 : x
  2. Step 2: Convert to fraction form
    4,702.48/6,489.42 = 2,606.61/x
  3. Step 3: Cross multiply
    4,702.48x = 6,489.42 × 2,606.61
  4. Step 4: Simplify right side
    4,702.48x = 16,915,387.07
  5. Step 5: Solve for x
    x = 16,915,387.07/4,702.48
  6. Step 6: Final answer
    x = 3,597.12

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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.