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Finding the Fourth Proportional to 4,071.81, 6,107.05 and 1,150.32

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Solution

The fourth proportional to 4,071.81, 6,107.05 and 1,150.32 is: 1,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.81 : 6,107.05 = 1,150.32 : x
  2. Step 2: Convert to fraction form
    4,071.81/6,107.05 = 1,150.32/x
  3. Step 3: Cross multiply
    4,071.81x = 6,107.05 × 1,150.32
  4. Step 4: Simplify right side
    4,071.81x = 7,025,061.76
  5. Step 5: Solve for x
    x = 7,025,061.76/4,071.81
  6. Step 6: Final answer
    x = 1,725.29

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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.