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Finding the Fourth Proportional to 3,543.97, 4,892 and 3,044.60

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Solution

The fourth proportional to 3,543.97, 4,892 and 3,044.60 is: 4,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.97 : 4,892 = 3,044.60 : x
  2. Step 2: Convert to fraction form
    3,543.97/4,892 = 3,044.60/x
  3. Step 3: Cross multiply
    3,543.97x = 4,892 × 3,044.60
  4. Step 4: Simplify right side
    3,543.97x = 14,894,183.20
  5. Step 5: Solve for x
    x = 14,894,183.20/3,543.97
  6. Step 6: Final answer
    x = 4,202.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.