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Finding the Fourth Proportional to 3,584.24, 5,376.28 and 987.20

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Solution

The fourth proportional to 3,584.24, 5,376.28 and 987.20 is: 1,480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.24 : 5,376.28 = 987.20 : x
  2. Step 2: Convert to fraction form
    3,584.24/5,376.28 = 987.20/x
  3. Step 3: Cross multiply
    3,584.24x = 5,376.28 × 987.20
  4. Step 4: Simplify right side
    3,584.24x = 5,307,463.62
  5. Step 5: Solve for x
    x = 5,307,463.62/3,584.24
  6. Step 6: Final answer
    x = 1,480.78

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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.