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Finding the Fourth Proportional to 5,149.40, 7,732.20 and 2,962.40

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Solution

The fourth proportional to 5,149.40, 7,732.20 and 2,962.40 is: 4,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.40 : 7,732.20 = 2,962.40 : x
  2. Step 2: Convert to fraction form
    5,149.40/7,732.20 = 2,962.40/x
  3. Step 3: Cross multiply
    5,149.40x = 7,732.20 × 2,962.40
  4. Step 4: Simplify right side
    5,149.40x = 22,905,869.28
  5. Step 5: Solve for x
    x = 22,905,869.28/5,149.40
  6. Step 6: Final answer
    x = 4,448.26

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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.