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Finding the Fourth Proportional to 3,742.72, 5,615.98 and 2,494.17

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Solution

The fourth proportional to 3,742.72, 5,615.98 and 2,494.17 is: 3,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.72 : 5,615.98 = 2,494.17 : x
  2. Step 2: Convert to fraction form
    3,742.72/5,615.98 = 2,494.17/x
  3. Step 3: Cross multiply
    3,742.72x = 5,615.98 × 2,494.17
  4. Step 4: Simplify right side
    3,742.72x = 14,007,181.54
  5. Step 5: Solve for x
    x = 14,007,181.54/3,742.72
  6. Step 6: Final answer
    x = 3,742.51

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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.