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Finding the Fourth Proportional to 5,165.65, 7,128.62 and 2,807.80

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Solution

The fourth proportional to 5,165.65, 7,128.62 and 2,807.80 is: 3,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.65 : 7,128.62 = 2,807.80 : x
  2. Step 2: Convert to fraction form
    5,165.65/7,128.62 = 2,807.80/x
  3. Step 3: Cross multiply
    5,165.65x = 7,128.62 × 2,807.80
  4. Step 4: Simplify right side
    5,165.65x = 20,015,739.24
  5. Step 5: Solve for x
    x = 20,015,739.24/5,165.65
  6. Step 6: Final answer
    x = 3,874.78

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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.