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Finding the Fourth Proportional to 3,767.29, 5,651.74 and 1,134.57

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Solution

The fourth proportional to 3,767.29, 5,651.74 and 1,134.57 is: 1,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.29 : 5,651.74 = 1,134.57 : x
  2. Step 2: Convert to fraction form
    3,767.29/5,651.74 = 1,134.57/x
  3. Step 3: Cross multiply
    3,767.29x = 5,651.74 × 1,134.57
  4. Step 4: Simplify right side
    3,767.29x = 6,412,291.82
  5. Step 5: Solve for x
    x = 6,412,291.82/3,767.29
  6. Step 6: Final answer
    x = 1,702.10

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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.