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Finding the Fourth Proportional to 3,585.39, 5,378.09 and 1,120.42

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Solution

The fourth proportional to 3,585.39, 5,378.09 and 1,120.42 is: 1,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.39 : 5,378.09 = 1,120.42 : x
  2. Step 2: Convert to fraction form
    3,585.39/5,378.09 = 1,120.42/x
  3. Step 3: Cross multiply
    3,585.39x = 5,378.09 × 1,120.42
  4. Step 4: Simplify right side
    3,585.39x = 6,025,714.00
  5. Step 5: Solve for x
    x = 6,025,714.00/3,585.39
  6. Step 6: Final answer
    x = 1,680.63

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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.