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Finding the Fourth Proportional to 3,585.54, 5,377.14 and 1,119.72

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Solution

The fourth proportional to 3,585.54, 5,377.14 and 1,119.72 is: 1,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.54 : 5,377.14 = 1,119.72 : x
  2. Step 2: Convert to fraction form
    3,585.54/5,377.14 = 1,119.72/x
  3. Step 3: Cross multiply
    3,585.54x = 5,377.14 × 1,119.72
  4. Step 4: Simplify right side
    3,585.54x = 6,020,891.20
  5. Step 5: Solve for x
    x = 6,020,891.20/3,585.54
  6. Step 6: Final answer
    x = 1,679.21

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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.