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Finding the Fourth Proportional to 5,089.78, 7,023.27 and 2,851.48

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Solution

The fourth proportional to 5,089.78, 7,023.27 and 2,851.48 is: 3,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.78 : 7,023.27 = 2,851.48 : x
  2. Step 2: Convert to fraction form
    5,089.78/7,023.27 = 2,851.48/x
  3. Step 3: Cross multiply
    5,089.78x = 7,023.27 × 2,851.48
  4. Step 4: Simplify right side
    5,089.78x = 20,026,713.94
  5. Step 5: Solve for x
    x = 20,026,713.94/5,089.78
  6. Step 6: Final answer
    x = 3,934.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.