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Finding the Fourth Proportional to 4,397.49, 6,592.59 and 3,077.49

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Solution

The fourth proportional to 4,397.49, 6,592.59 and 3,077.49 is: 4,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.49 : 6,592.59 = 3,077.49 : x
  2. Step 2: Convert to fraction form
    4,397.49/6,592.59 = 3,077.49/x
  3. Step 3: Cross multiply
    4,397.49x = 6,592.59 × 3,077.49
  4. Step 4: Simplify right side
    4,397.49x = 20,288,654.52
  5. Step 5: Solve for x
    x = 20,288,654.52/4,397.49
  6. Step 6: Final answer
    x = 4,613.69

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