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Finding the Fourth Proportional to 2,988, 4,125.87 and 2,591.10

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Solution

The fourth proportional to 2,988, 4,125.87 and 2,591.10 is: 3,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988 : 4,125.87 = 2,591.10 : x
  2. Step 2: Convert to fraction form
    2,988/4,125.87 = 2,591.10/x
  3. Step 3: Cross multiply
    2,988x = 4,125.87 × 2,591.10
  4. Step 4: Simplify right side
    2,988x = 10,690,541.76
  5. Step 5: Solve for x
    x = 10,690,541.76/2,988
  6. Step 6: Final answer
    x = 3,577.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.