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Finding the Fourth Proportional to 4,107.14, 6,160.69 and 1,029.14

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Solution

The fourth proportional to 4,107.14, 6,160.69 and 1,029.14 is: 1,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.14 : 6,160.69 = 1,029.14 : x
  2. Step 2: Convert to fraction form
    4,107.14/6,160.69 = 1,029.14/x
  3. Step 3: Cross multiply
    4,107.14x = 6,160.69 × 1,029.14
  4. Step 4: Simplify right side
    4,107.14x = 6,340,212.51
  5. Step 5: Solve for x
    x = 6,340,212.51/4,107.14
  6. Step 6: Final answer
    x = 1,543.70

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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.