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Finding the Fourth Proportional to 3,876.61, 5,813.49 and 1,655.20

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Solution

The fourth proportional to 3,876.61, 5,813.49 and 1,655.20 is: 2,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.61 : 5,813.49 = 1,655.20 : x
  2. Step 2: Convert to fraction form
    3,876.61/5,813.49 = 1,655.20/x
  3. Step 3: Cross multiply
    3,876.61x = 5,813.49 × 1,655.20
  4. Step 4: Simplify right side
    3,876.61x = 9,622,488.65
  5. Step 5: Solve for x
    x = 9,622,488.65/3,876.61
  6. Step 6: Final answer
    x = 2,482.19

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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.