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Finding the Fourth Proportional to 5,287.64, 7,931.48 and 2,001.76

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Solution

The fourth proportional to 5,287.64, 7,931.48 and 2,001.76 is: 3,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.64 : 7,931.48 = 2,001.76 : x
  2. Step 2: Convert to fraction form
    5,287.64/7,931.48 = 2,001.76/x
  3. Step 3: Cross multiply
    5,287.64x = 7,931.48 × 2,001.76
  4. Step 4: Simplify right side
    5,287.64x = 15,876,919.40
  5. Step 5: Solve for x
    x = 15,876,919.40/5,287.64
  6. Step 6: Final answer
    x = 3,002.65

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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.