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Finding the Fourth Proportional to 5,120.86, 7,066.80 and 2,882.77

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Solution

The fourth proportional to 5,120.86, 7,066.80 and 2,882.77 is: 3,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.86 : 7,066.80 = 2,882.77 : x
  2. Step 2: Convert to fraction form
    5,120.86/7,066.80 = 2,882.77/x
  3. Step 3: Cross multiply
    5,120.86x = 7,066.80 × 2,882.77
  4. Step 4: Simplify right side
    5,120.86x = 20,371,959.04
  5. Step 5: Solve for x
    x = 20,371,959.04/5,120.86
  6. Step 6: Final answer
    x = 3,978.23

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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.