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Finding the Fourth Proportional to 3,862.50, 5,793.96 and 1,265.45

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Solution

The fourth proportional to 3,862.50, 5,793.96 and 1,265.45 is: 1,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.50 : 5,793.96 = 1,265.45 : x
  2. Step 2: Convert to fraction form
    3,862.50/5,793.96 = 1,265.45/x
  3. Step 3: Cross multiply
    3,862.50x = 5,793.96 × 1,265.45
  4. Step 4: Simplify right side
    3,862.50x = 7,331,937.71
  5. Step 5: Solve for x
    x = 7,331,937.71/3,862.50
  6. Step 6: Final answer
    x = 1,898.24

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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.