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Finding the Fourth Proportional to 5,701.60, 8,542.80 and 3,752.80

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Solution

The fourth proportional to 5,701.60, 8,542.80 and 3,752.80 is: 5,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.60 : 8,542.80 = 3,752.80 : x
  2. Step 2: Convert to fraction form
    5,701.60/8,542.80 = 3,752.80/x
  3. Step 3: Cross multiply
    5,701.60x = 8,542.80 × 3,752.80
  4. Step 4: Simplify right side
    5,701.60x = 32,059,419.84
  5. Step 5: Solve for x
    x = 32,059,419.84/5,701.60
  6. Step 6: Final answer
    x = 5,622.88

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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.