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Finding the Fourth Proportional to 3,023.92, 4,536.72 and 1,076.08

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Solution

The fourth proportional to 3,023.92, 4,536.72 and 1,076.08 is: 1,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.92 : 4,536.72 = 1,076.08 : x
  2. Step 2: Convert to fraction form
    3,023.92/4,536.72 = 1,076.08/x
  3. Step 3: Cross multiply
    3,023.92x = 4,536.72 × 1,076.08
  4. Step 4: Simplify right side
    3,023.92x = 4,881,873.66
  5. Step 5: Solve for x
    x = 4,881,873.66/3,023.92
  6. Step 6: Final answer
    x = 1,614.42

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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.