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Finding the Fourth Proportional to 4,932.96, 7,402.16 and 2,742.90

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Solution

The fourth proportional to 4,932.96, 7,402.16 and 2,742.90 is: 4,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.96 : 7,402.16 = 2,742.90 : x
  2. Step 2: Convert to fraction form
    4,932.96/7,402.16 = 2,742.90/x
  3. Step 3: Cross multiply
    4,932.96x = 7,402.16 × 2,742.90
  4. Step 4: Simplify right side
    4,932.96x = 20,303,384.66
  5. Step 5: Solve for x
    x = 20,303,384.66/4,932.96
  6. Step 6: Final answer
    x = 4,115.86

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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.