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Finding the Fourth Proportional to 4,741.27, 7,113.22 and 1,454.42

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Solution

The fourth proportional to 4,741.27, 7,113.22 and 1,454.42 is: 2,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.27 : 7,113.22 = 1,454.42 : x
  2. Step 2: Convert to fraction form
    4,741.27/7,113.22 = 1,454.42/x
  3. Step 3: Cross multiply
    4,741.27x = 7,113.22 × 1,454.42
  4. Step 4: Simplify right side
    4,741.27x = 10,345,623.58
  5. Step 5: Solve for x
    x = 10,345,623.58/4,741.27
  6. Step 6: Final answer
    x = 2,182.04

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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.