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Finding the Fourth Proportional to 5,177.80, 7,145.28 and 2,820

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Solution

The fourth proportional to 5,177.80, 7,145.28 and 2,820 is: 3,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.80 : 7,145.28 = 2,820 : x
  2. Step 2: Convert to fraction form
    5,177.80/7,145.28 = 2,820/x
  3. Step 3: Cross multiply
    5,177.80x = 7,145.28 × 2,820
  4. Step 4: Simplify right side
    5,177.80x = 20,149,689.60
  5. Step 5: Solve for x
    x = 20,149,689.60/5,177.80
  6. Step 6: Final answer
    x = 3,891.55

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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.