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Finding the Fourth Proportional to 3,584.70, 5,376.42 and 987

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Solution

The fourth proportional to 3,584.70, 5,376.42 and 987 is: 1,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.70 : 5,376.42 = 987 : x
  2. Step 2: Convert to fraction form
    3,584.70/5,376.42 = 987/x
  3. Step 3: Cross multiply
    3,584.70x = 5,376.42 × 987
  4. Step 4: Simplify right side
    3,584.70x = 5,306,526.54
  5. Step 5: Solve for x
    x = 5,306,526.54/3,584.70
  6. Step 6: Final answer
    x = 1,480.33

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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.