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Finding the Fourth Proportional to 6,591.54, 9,880.97 and 2,429.28

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Solution

The fourth proportional to 6,591.54, 9,880.97 and 2,429.28 is: 3,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.54 : 9,880.97 = 2,429.28 : x
  2. Step 2: Convert to fraction form
    6,591.54/9,880.97 = 2,429.28/x
  3. Step 3: Cross multiply
    6,591.54x = 9,880.97 × 2,429.28
  4. Step 4: Simplify right side
    6,591.54x = 24,003,642.80
  5. Step 5: Solve for x
    x = 24,003,642.80/6,591.54
  6. Step 6: Final answer
    x = 3,641.58

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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.