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Finding the Fourth Proportional to 4,702.38, 6,489.75 and 2,606.91

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Solution

The fourth proportional to 4,702.38, 6,489.75 and 2,606.91 is: 3,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.38 : 6,489.75 = 2,606.91 : x
  2. Step 2: Convert to fraction form
    4,702.38/6,489.75 = 2,606.91/x
  3. Step 3: Cross multiply
    4,702.38x = 6,489.75 × 2,606.91
  4. Step 4: Simplify right side
    4,702.38x = 16,918,194.17
  5. Step 5: Solve for x
    x = 16,918,194.17/4,702.38
  6. Step 6: Final answer
    x = 3,597.79

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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.