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Finding the Fourth Proportional to 3,924.64, 5,887.16 and 1,002.97

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Solution

The fourth proportional to 3,924.64, 5,887.16 and 1,002.97 is: 1,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.64 : 5,887.16 = 1,002.97 : x
  2. Step 2: Convert to fraction form
    3,924.64/5,887.16 = 1,002.97/x
  3. Step 3: Cross multiply
    3,924.64x = 5,887.16 × 1,002.97
  4. Step 4: Simplify right side
    3,924.64x = 5,904,610.41
  5. Step 5: Solve for x
    x = 5,904,610.41/3,924.64
  6. Step 6: Final answer
    x = 1,504.50

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1.5x scale

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.