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Finding the Fourth Proportional to 3,751.12, 5,626.46 and 1,154.06

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Solution

The fourth proportional to 3,751.12, 5,626.46 and 1,154.06 is: 1,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.12 : 5,626.46 = 1,154.06 : x
  2. Step 2: Convert to fraction form
    3,751.12/5,626.46 = 1,154.06/x
  3. Step 3: Cross multiply
    3,751.12x = 5,626.46 × 1,154.06
  4. Step 4: Simplify right side
    3,751.12x = 6,493,272.43
  5. Step 5: Solve for x
    x = 6,493,272.43/3,751.12
  6. Step 6: Final answer
    x = 1,731.02

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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.