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Finding the Fourth Proportional to 5,463.65, 8,194.40 and 2,501.29

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Solution

The fourth proportional to 5,463.65, 8,194.40 and 2,501.29 is: 3,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.65 : 8,194.40 = 2,501.29 : x
  2. Step 2: Convert to fraction form
    5,463.65/8,194.40 = 2,501.29/x
  3. Step 3: Cross multiply
    5,463.65x = 8,194.40 × 2,501.29
  4. Step 4: Simplify right side
    5,463.65x = 20,496,570.78
  5. Step 5: Solve for x
    x = 20,496,570.78/5,463.65
  6. Step 6: Final answer
    x = 3,751.44

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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.