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Finding the Fourth Proportional to 5,247.42, 7,869.87 and 1,548.65

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Solution

The fourth proportional to 5,247.42, 7,869.87 and 1,548.65 is: 2,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.42 : 7,869.87 = 1,548.65 : x
  2. Step 2: Convert to fraction form
    5,247.42/7,869.87 = 1,548.65/x
  3. Step 3: Cross multiply
    5,247.42x = 7,869.87 × 1,548.65
  4. Step 4: Simplify right side
    5,247.42x = 12,187,634.83
  5. Step 5: Solve for x
    x = 12,187,634.83/5,247.42
  6. Step 6: Final answer
    x = 2,322.60

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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.