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Finding the Fourth Proportional to 3,451.72, 5,178.54 and 1,143.28

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Solution

The fourth proportional to 3,451.72, 5,178.54 and 1,143.28 is: 1,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.72 : 5,178.54 = 1,143.28 : x
  2. Step 2: Convert to fraction form
    3,451.72/5,178.54 = 1,143.28/x
  3. Step 3: Cross multiply
    3,451.72x = 5,178.54 × 1,143.28
  4. Step 4: Simplify right side
    3,451.72x = 5,920,521.21
  5. Step 5: Solve for x
    x = 5,920,521.21/3,451.72
  6. Step 6: Final answer
    x = 1,715.24

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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.