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Finding the Fourth Proportional to 5,637.68, 8,451.12 and 3,691.52

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Solution

The fourth proportional to 5,637.68, 8,451.12 and 3,691.52 is: 5,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.68 : 8,451.12 = 3,691.52 : x
  2. Step 2: Convert to fraction form
    5,637.68/8,451.12 = 3,691.52/x
  3. Step 3: Cross multiply
    5,637.68x = 8,451.12 × 3,691.52
  4. Step 4: Simplify right side
    5,637.68x = 31,197,478.50
  5. Step 5: Solve for x
    x = 31,197,478.50/5,637.68
  6. Step 6: Final answer
    x = 5,533.74

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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.