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Finding the Fourth Proportional to 3,585.73, 5,379.22 and 1,119.92

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Solution

The fourth proportional to 3,585.73, 5,379.22 and 1,119.92 is: 1,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.73 : 5,379.22 = 1,119.92 : x
  2. Step 2: Convert to fraction form
    3,585.73/5,379.22 = 1,119.92/x
  3. Step 3: Cross multiply
    3,585.73x = 5,379.22 × 1,119.92
  4. Step 4: Simplify right side
    3,585.73x = 6,024,296.06
  5. Step 5: Solve for x
    x = 6,024,296.06/3,585.73
  6. Step 6: Final answer
    x = 1,680.08

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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.