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Finding the Fourth Proportional to 3,733.62, 5,585.03 and 3,068

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Solution

The fourth proportional to 3,733.62, 5,585.03 and 3,068 is: 4,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.62 : 5,585.03 = 3,068 : x
  2. Step 2: Convert to fraction form
    3,733.62/5,585.03 = 3,068/x
  3. Step 3: Cross multiply
    3,733.62x = 5,585.03 × 3,068
  4. Step 4: Simplify right side
    3,733.62x = 17,134,872.04
  5. Step 5: Solve for x
    x = 17,134,872.04/3,733.62
  6. Step 6: Final answer
    x = 4,589.35

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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.