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Finding the Fourth Proportional to 5,614.77, 8,422.66 and 1,454.76

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Solution

The fourth proportional to 5,614.77, 8,422.66 and 1,454.76 is: 2,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.77 : 8,422.66 = 1,454.76 : x
  2. Step 2: Convert to fraction form
    5,614.77/8,422.66 = 1,454.76/x
  3. Step 3: Cross multiply
    5,614.77x = 8,422.66 × 1,454.76
  4. Step 4: Simplify right side
    5,614.77x = 12,252,946.59
  5. Step 5: Solve for x
    x = 12,252,946.59/5,614.77
  6. Step 6: Final answer
    x = 2,182.27

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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.