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Finding the Fourth Proportional to 5,408.59, 8,113.71 and 2,288.60

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Solution

The fourth proportional to 5,408.59, 8,113.71 and 2,288.60 is: 3,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.59 : 8,113.71 = 2,288.60 : x
  2. Step 2: Convert to fraction form
    5,408.59/8,113.71 = 2,288.60/x
  3. Step 3: Cross multiply
    5,408.59x = 8,113.71 × 2,288.60
  4. Step 4: Simplify right side
    5,408.59x = 18,569,036.71
  5. Step 5: Solve for x
    x = 18,569,036.71/5,408.59
  6. Step 6: Final answer
    x = 3,433.25

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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.