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Finding the Fourth Proportional to 3,584.81, 5,377.59 and 987.75

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Solution

The fourth proportional to 3,584.81, 5,377.59 and 987.75 is: 1,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.81 : 5,377.59 = 987.75 : x
  2. Step 2: Convert to fraction form
    3,584.81/5,377.59 = 987.75/x
  3. Step 3: Cross multiply
    3,584.81x = 5,377.59 × 987.75
  4. Step 4: Simplify right side
    3,584.81x = 5,311,714.52
  5. Step 5: Solve for x
    x = 5,311,714.52/3,584.81
  6. Step 6: Final answer
    x = 1,481.73

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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.