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Finding the Fourth Proportional to 4,107.32, 6,160.56 and 1,029.32

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Solution

The fourth proportional to 4,107.32, 6,160.56 and 1,029.32 is: 1,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.32 : 6,160.56 = 1,029.32 : x
  2. Step 2: Convert to fraction form
    4,107.32/6,160.56 = 1,029.32/x
  3. Step 3: Cross multiply
    4,107.32x = 6,160.56 × 1,029.32
  4. Step 4: Simplify right side
    4,107.32x = 6,341,187.62
  5. Step 5: Solve for x
    x = 6,341,187.62/4,107.32
  6. Step 6: Final answer
    x = 1,543.87

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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.