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Finding the Fourth Proportional to 4,077.48, 6,107.04 and 1,882.92

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Solution

The fourth proportional to 4,077.48, 6,107.04 and 1,882.92 is: 2,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.48 : 6,107.04 = 1,882.92 : x
  2. Step 2: Convert to fraction form
    4,077.48/6,107.04 = 1,882.92/x
  3. Step 3: Cross multiply
    4,077.48x = 6,107.04 × 1,882.92
  4. Step 4: Simplify right side
    4,077.48x = 11,499,067.76
  5. Step 5: Solve for x
    x = 11,499,067.76/4,077.48
  6. Step 6: Final answer
    x = 2,820.14

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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.