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Finding the Fourth Proportional to 3,584.84, 5,377.32 and 987.76

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Solution

The fourth proportional to 3,584.84, 5,377.32 and 987.76 is: 1,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.84 : 5,377.32 = 987.76 : x
  2. Step 2: Convert to fraction form
    3,584.84/5,377.32 = 987.76/x
  3. Step 3: Cross multiply
    3,584.84x = 5,377.32 × 987.76
  4. Step 4: Simplify right side
    3,584.84x = 5,311,501.60
  5. Step 5: Solve for x
    x = 5,311,501.60/3,584.84
  6. Step 6: Final answer
    x = 1,481.66

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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.