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Finding the Fourth Proportional to 3,862.60, 5,793.90 and 3,441.40

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Solution

The fourth proportional to 3,862.60, 5,793.90 and 3,441.40 is: 5,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.60 : 5,793.90 = 3,441.40 : x
  2. Step 2: Convert to fraction form
    3,862.60/5,793.90 = 3,441.40/x
  3. Step 3: Cross multiply
    3,862.60x = 5,793.90 × 3,441.40
  4. Step 4: Simplify right side
    3,862.60x = 19,939,127.46
  5. Step 5: Solve for x
    x = 19,939,127.46/3,862.60
  6. Step 6: Final answer
    x = 5,162.10

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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.