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Finding the Fourth Proportional to 4,071.92, 6,107.82 and 1,150.16

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Solution

The fourth proportional to 4,071.92, 6,107.82 and 1,150.16 is: 1,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.92 : 6,107.82 = 1,150.16 : x
  2. Step 2: Convert to fraction form
    4,071.92/6,107.82 = 1,150.16/x
  3. Step 3: Cross multiply
    4,071.92x = 6,107.82 × 1,150.16
  4. Step 4: Simplify right side
    4,071.92x = 7,024,970.25
  5. Step 5: Solve for x
    x = 7,024,970.25/4,071.92
  6. Step 6: Final answer
    x = 1,725.22

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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.