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Finding the Fourth Proportional to 4,654.37, 6,404.26 and 4,543.65

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Solution

The fourth proportional to 4,654.37, 6,404.26 and 4,543.65 is: 6,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.37 : 6,404.26 = 4,543.65 : x
  2. Step 2: Convert to fraction form
    4,654.37/6,404.26 = 4,543.65/x
  3. Step 3: Cross multiply
    4,654.37x = 6,404.26 × 4,543.65
  4. Step 4: Simplify right side
    4,654.37x = 29,098,715.95
  5. Step 5: Solve for x
    x = 29,098,715.95/4,654.37
  6. Step 6: Final answer
    x = 6,251.92

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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.