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Finding the Fourth Proportional to 4,149.52, 6,193.91 and 3,657.46

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Solution

The fourth proportional to 4,149.52, 6,193.91 and 3,657.46 is: 5,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.52 : 6,193.91 = 3,657.46 : x
  2. Step 2: Convert to fraction form
    4,149.52/6,193.91 = 3,657.46/x
  3. Step 3: Cross multiply
    4,149.52x = 6,193.91 × 3,657.46
  4. Step 4: Simplify right side
    4,149.52x = 22,653,978.07
  5. Step 5: Solve for x
    x = 22,653,978.07/4,149.52
  6. Step 6: Final answer
    x = 5,459.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.