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Finding the Fourth Proportional to 5,541.95, 8,314.49 and 2,257.40

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Solution

The fourth proportional to 5,541.95, 8,314.49 and 2,257.40 is: 3,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.95 : 8,314.49 = 2,257.40 : x
  2. Step 2: Convert to fraction form
    5,541.95/8,314.49 = 2,257.40/x
  3. Step 3: Cross multiply
    5,541.95x = 8,314.49 × 2,257.40
  4. Step 4: Simplify right side
    5,541.95x = 18,769,129.73
  5. Step 5: Solve for x
    x = 18,769,129.73/5,541.95
  6. Step 6: Final answer
    x = 3,386.74

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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.