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Finding the Fourth Proportional to 4,097.39, 6,142.43 and 1,499.72

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Solution

The fourth proportional to 4,097.39, 6,142.43 and 1,499.72 is: 2,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.39 : 6,142.43 = 1,499.72 : x
  2. Step 2: Convert to fraction form
    4,097.39/6,142.43 = 1,499.72/x
  3. Step 3: Cross multiply
    4,097.39x = 6,142.43 × 1,499.72
  4. Step 4: Simplify right side
    4,097.39x = 9,211,898.16
  5. Step 5: Solve for x
    x = 9,211,898.16/4,097.39
  6. Step 6: Final answer
    x = 2,248.24

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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.