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Finding the Fourth Proportional to 5,468.87, 8,204.53 and 1,572.97

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Solution

The fourth proportional to 5,468.87, 8,204.53 and 1,572.97 is: 2,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.87 : 8,204.53 = 1,572.97 : x
  2. Step 2: Convert to fraction form
    5,468.87/8,204.53 = 1,572.97/x
  3. Step 3: Cross multiply
    5,468.87x = 8,204.53 × 1,572.97
  4. Step 4: Simplify right side
    5,468.87x = 12,905,479.55
  5. Step 5: Solve for x
    x = 12,905,479.55/5,468.87
  6. Step 6: Final answer
    x = 2,359.81

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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.