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Finding the Fourth Proportional to 5,342.30, 8,013.47 and 1,446.71

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Solution

The fourth proportional to 5,342.30, 8,013.47 and 1,446.71 is: 2,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.30 : 8,013.47 = 1,446.71 : x
  2. Step 2: Convert to fraction form
    5,342.30/8,013.47 = 1,446.71/x
  3. Step 3: Cross multiply
    5,342.30x = 8,013.47 × 1,446.71
  4. Step 4: Simplify right side
    5,342.30x = 11,593,119.88
  5. Step 5: Solve for x
    x = 11,593,119.88/5,342.30
  6. Step 6: Final answer
    x = 2,170.06

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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.