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Finding the Fourth Proportional to 5,616.26, 8,422.20 and 1,666.40

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Solution

The fourth proportional to 5,616.26, 8,422.20 and 1,666.40 is: 2,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.26 : 8,422.20 = 1,666.40 : x
  2. Step 2: Convert to fraction form
    5,616.26/8,422.20 = 1,666.40/x
  3. Step 3: Cross multiply
    5,616.26x = 8,422.20 × 1,666.40
  4. Step 4: Simplify right side
    5,616.26x = 14,034,754.08
  5. Step 5: Solve for x
    x = 14,034,754.08/5,616.26
  6. Step 6: Final answer
    x = 2,498.95

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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.