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Finding the Fourth Proportional to 3,489.77, 5,233.64 and 1,024.13

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Solution

The fourth proportional to 3,489.77, 5,233.64 and 1,024.13 is: 1,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.77 : 5,233.64 = 1,024.13 : x
  2. Step 2: Convert to fraction form
    3,489.77/5,233.64 = 1,024.13/x
  3. Step 3: Cross multiply
    3,489.77x = 5,233.64 × 1,024.13
  4. Step 4: Simplify right side
    3,489.77x = 5,359,896.44
  5. Step 5: Solve for x
    x = 5,359,896.44/3,489.77
  6. Step 6: Final answer
    x = 1,535.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.