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Finding the Fourth Proportional to 3,604.87, 5,407.75 and 1,139.32

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Solution

The fourth proportional to 3,604.87, 5,407.75 and 1,139.32 is: 1,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.87 : 5,407.75 = 1,139.32 : x
  2. Step 2: Convert to fraction form
    3,604.87/5,407.75 = 1,139.32/x
  3. Step 3: Cross multiply
    3,604.87x = 5,407.75 × 1,139.32
  4. Step 4: Simplify right side
    3,604.87x = 6,161,157.73
  5. Step 5: Solve for x
    x = 6,161,157.73/3,604.87
  6. Step 6: Final answer
    x = 1,709.12

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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.