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Finding the Fourth Proportional to 3,585.64, 5,378.47 and 1,120.47

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Solution

The fourth proportional to 3,585.64, 5,378.47 and 1,120.47 is: 1,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.64 : 5,378.47 = 1,120.47 : x
  2. Step 2: Convert to fraction form
    3,585.64/5,378.47 = 1,120.47/x
  3. Step 3: Cross multiply
    3,585.64x = 5,378.47 × 1,120.47
  4. Step 4: Simplify right side
    3,585.64x = 6,026,436.69
  5. Step 5: Solve for x
    x = 6,026,436.69/3,585.64
  6. Step 6: Final answer
    x = 1,680.71

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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.