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Finding the Fourth Proportional to 4,071.43, 6,107.12 and 1,149.72

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Solution

The fourth proportional to 4,071.43, 6,107.12 and 1,149.72 is: 1,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.43 : 6,107.12 = 1,149.72 : x
  2. Step 2: Convert to fraction form
    4,071.43/6,107.12 = 1,149.72/x
  3. Step 3: Cross multiply
    4,071.43x = 6,107.12 × 1,149.72
  4. Step 4: Simplify right side
    4,071.43x = 7,021,478.01
  5. Step 5: Solve for x
    x = 7,021,478.01/4,071.43
  6. Step 6: Final answer
    x = 1,724.57

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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.