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Finding the Fourth Proportional to 5,510.40, 8,266.92 and 1,614.80

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Solution

The fourth proportional to 5,510.40, 8,266.92 and 1,614.80 is: 2,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.40 : 8,266.92 = 1,614.80 : x
  2. Step 2: Convert to fraction form
    5,510.40/8,266.92 = 1,614.80/x
  3. Step 3: Cross multiply
    5,510.40x = 8,266.92 × 1,614.80
  4. Step 4: Simplify right side
    5,510.40x = 13,349,422.42
  5. Step 5: Solve for x
    x = 13,349,422.42/5,510.40
  6. Step 6: Final answer
    x = 2,422.59

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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.