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Finding the Fourth Proportional to 4,093.92, 6,141.10 and 1,320.38

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Solution

The fourth proportional to 4,093.92, 6,141.10 and 1,320.38 is: 1,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.92 : 6,141.10 = 1,320.38 : x
  2. Step 2: Convert to fraction form
    4,093.92/6,141.10 = 1,320.38/x
  3. Step 3: Cross multiply
    4,093.92x = 6,141.10 × 1,320.38
  4. Step 4: Simplify right side
    4,093.92x = 8,108,585.62
  5. Step 5: Solve for x
    x = 8,108,585.62/4,093.92
  6. Step 6: Final answer
    x = 1,980.64

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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.