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Finding the Fourth Proportional to 3,584.76, 5,374.62 and 1,244.22

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Solution

The fourth proportional to 3,584.76, 5,374.62 and 1,244.22 is: 1,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.76 : 5,374.62 = 1,244.22 : x
  2. Step 2: Convert to fraction form
    3,584.76/5,374.62 = 1,244.22/x
  3. Step 3: Cross multiply
    3,584.76x = 5,374.62 × 1,244.22
  4. Step 4: Simplify right side
    3,584.76x = 6,687,209.70
  5. Step 5: Solve for x
    x = 6,687,209.70/3,584.76
  6. Step 6: Final answer
    x = 1,865.46

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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.