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Finding the Fourth Proportional to 4,502.24, 6,742.92 and 2,305.52

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Solution

The fourth proportional to 4,502.24, 6,742.92 and 2,305.52 is: 3,452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.24 : 6,742.92 = 2,305.52 : x
  2. Step 2: Convert to fraction form
    4,502.24/6,742.92 = 2,305.52/x
  3. Step 3: Cross multiply
    4,502.24x = 6,742.92 × 2,305.52
  4. Step 4: Simplify right side
    4,502.24x = 15,545,936.92
  5. Step 5: Solve for x
    x = 15,545,936.92/4,502.24
  6. Step 6: Final answer
    x = 3,452.93

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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.