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Finding the Fourth Proportional to 5,701.68, 7,869.82 and 4,023.60

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Solution

The fourth proportional to 5,701.68, 7,869.82 and 4,023.60 is: 5,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.68 : 7,869.82 = 4,023.60 : x
  2. Step 2: Convert to fraction form
    5,701.68/7,869.82 = 4,023.60/x
  3. Step 3: Cross multiply
    5,701.68x = 7,869.82 × 4,023.60
  4. Step 4: Simplify right side
    5,701.68x = 31,665,007.75
  5. Step 5: Solve for x
    x = 31,665,007.75/5,701.68
  6. Step 6: Final answer
    x = 5,553.63

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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.