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Finding the Fourth Proportional to 3,604.90, 5,407.08 and 1,139.80

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Solution

The fourth proportional to 3,604.90, 5,407.08 and 1,139.80 is: 1,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.90 : 5,407.08 = 1,139.80 : x
  2. Step 2: Convert to fraction form
    3,604.90/5,407.08 = 1,139.80/x
  3. Step 3: Cross multiply
    3,604.90x = 5,407.08 × 1,139.80
  4. Step 4: Simplify right side
    3,604.90x = 6,162,989.78
  5. Step 5: Solve for x
    x = 6,162,989.78/3,604.90
  6. Step 6: Final answer
    x = 1,709.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.