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Finding the Fourth Proportional to 5,348.68, 8,022.90 and 2,426.20

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Solution

The fourth proportional to 5,348.68, 8,022.90 and 2,426.20 is: 3,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.68 : 8,022.90 = 2,426.20 : x
  2. Step 2: Convert to fraction form
    5,348.68/8,022.90 = 2,426.20/x
  3. Step 3: Cross multiply
    5,348.68x = 8,022.90 × 2,426.20
  4. Step 4: Simplify right side
    5,348.68x = 19,465,159.98
  5. Step 5: Solve for x
    x = 19,465,159.98/5,348.68
  6. Step 6: Final answer
    x = 3,639.25

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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.