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Finding the Fourth Proportional to 3,287.80, 4,535.22 and 2,277.93

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Solution

The fourth proportional to 3,287.80, 4,535.22 and 2,277.93 is: 3,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.80 : 4,535.22 = 2,277.93 : x
  2. Step 2: Convert to fraction form
    3,287.80/4,535.22 = 2,277.93/x
  3. Step 3: Cross multiply
    3,287.80x = 4,535.22 × 2,277.93
  4. Step 4: Simplify right side
    3,287.80x = 10,330,939.24
  5. Step 5: Solve for x
    x = 10,330,939.24/3,287.80
  6. Step 6: Final answer
    x = 3,142.20

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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.