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Finding the Fourth Proportional to 5,700.52, 8,544.12 and 5,052.52

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Solution

The fourth proportional to 5,700.52, 8,544.12 and 5,052.52 is: 7,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.52 : 8,544.12 = 5,052.52 : x
  2. Step 2: Convert to fraction form
    5,700.52/8,544.12 = 5,052.52/x
  3. Step 3: Cross multiply
    5,700.52x = 8,544.12 × 5,052.52
  4. Step 4: Simplify right side
    5,700.52x = 43,169,337.18
  5. Step 5: Solve for x
    x = 43,169,337.18/5,700.52
  6. Step 6: Final answer
    x = 7,572.88

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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.