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Finding the Fourth Proportional to 3,517.95, 5,277.41 and 1,543.40

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Solution

The fourth proportional to 3,517.95, 5,277.41 and 1,543.40 is: 2,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.95 : 5,277.41 = 1,543.40 : x
  2. Step 2: Convert to fraction form
    3,517.95/5,277.41 = 1,543.40/x
  3. Step 3: Cross multiply
    3,517.95x = 5,277.41 × 1,543.40
  4. Step 4: Simplify right side
    3,517.95x = 8,145,177.09
  5. Step 5: Solve for x
    x = 8,145,177.09/3,517.95
  6. Step 6: Final answer
    x = 2,315.32

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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.