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Finding the Fourth Proportional to 3,454.75, 5,182.57 and 1,114.84

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Solution

The fourth proportional to 3,454.75, 5,182.57 and 1,114.84 is: 1,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.75 : 5,182.57 = 1,114.84 : x
  2. Step 2: Convert to fraction form
    3,454.75/5,182.57 = 1,114.84/x
  3. Step 3: Cross multiply
    3,454.75x = 5,182.57 × 1,114.84
  4. Step 4: Simplify right side
    3,454.75x = 5,777,710.43
  5. Step 5: Solve for x
    x = 5,777,710.43/3,454.75
  6. Step 6: Final answer
    x = 1,672.40

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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.