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Finding the Fourth Proportional to 3,751.21, 5,626.82 and 1,154.13

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Solution

The fourth proportional to 3,751.21, 5,626.82 and 1,154.13 is: 1,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.21 : 5,626.82 = 1,154.13 : x
  2. Step 2: Convert to fraction form
    3,751.21/5,626.82 = 1,154.13/x
  3. Step 3: Cross multiply
    3,751.21x = 5,626.82 × 1,154.13
  4. Step 4: Simplify right side
    3,751.21x = 6,494,081.77
  5. Step 5: Solve for x
    x = 6,494,081.77/3,751.21
  6. Step 6: Final answer
    x = 1,731.20

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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.