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Finding the Fourth Proportional to 5,614.91, 8,423.20 and 1,814.28

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Solution

The fourth proportional to 5,614.91, 8,423.20 and 1,814.28 is: 2,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.91 : 8,423.20 = 1,814.28 : x
  2. Step 2: Convert to fraction form
    5,614.91/8,423.20 = 1,814.28/x
  3. Step 3: Cross multiply
    5,614.91x = 8,423.20 × 1,814.28
  4. Step 4: Simplify right side
    5,614.91x = 15,282,047.83
  5. Step 5: Solve for x
    x = 15,282,047.83/5,614.91
  6. Step 6: Final answer
    x = 2,721.69

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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.