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Finding the Fourth Proportional to 5,728.74, 8,591.46 and 2,607

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Solution

The fourth proportional to 5,728.74, 8,591.46 and 2,607 is: 3,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.74 : 8,591.46 = 2,607 : x
  2. Step 2: Convert to fraction form
    5,728.74/8,591.46 = 2,607/x
  3. Step 3: Cross multiply
    5,728.74x = 8,591.46 × 2,607
  4. Step 4: Simplify right side
    5,728.74x = 22,397,936.22
  5. Step 5: Solve for x
    x = 22,397,936.22/5,728.74
  6. Step 6: Final answer
    x = 3,909.75

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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.