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Finding the Fourth Proportional to 3,931.92, 5,898.10 and 1,591.58

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Solution

The fourth proportional to 3,931.92, 5,898.10 and 1,591.58 is: 2,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.92 : 5,898.10 = 1,591.58 : x
  2. Step 2: Convert to fraction form
    3,931.92/5,898.10 = 1,591.58/x
  3. Step 3: Cross multiply
    3,931.92x = 5,898.10 × 1,591.58
  4. Step 4: Simplify right side
    3,931.92x = 9,387,298.00
  5. Step 5: Solve for x
    x = 9,387,298.00/3,931.92
  6. Step 6: Final answer
    x = 2,387.46

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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.