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Finding the Fourth Proportional to 5,120.66, 7,065.09 and 2,882.40

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Solution

The fourth proportional to 5,120.66, 7,065.09 and 2,882.40 is: 3,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.66 : 7,065.09 = 2,882.40 : x
  2. Step 2: Convert to fraction form
    5,120.66/7,065.09 = 2,882.40/x
  3. Step 3: Cross multiply
    5,120.66x = 7,065.09 × 2,882.40
  4. Step 4: Simplify right side
    5,120.66x = 20,364,415.42
  5. Step 5: Solve for x
    x = 20,364,415.42/5,120.66
  6. Step 6: Final answer
    x = 3,976.92

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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.