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Finding the Fourth Proportional to 3,751.09, 5,614.82 and 2,574.20

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Solution

The fourth proportional to 3,751.09, 5,614.82 and 2,574.20 is: 3,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.09 : 5,614.82 = 2,574.20 : x
  2. Step 2: Convert to fraction form
    3,751.09/5,614.82 = 2,574.20/x
  3. Step 3: Cross multiply
    3,751.09x = 5,614.82 × 2,574.20
  4. Step 4: Simplify right side
    3,751.09x = 14,453,690.12
  5. Step 5: Solve for x
    x = 14,453,690.12/3,751.09
  6. Step 6: Final answer
    x = 3,853.20

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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.