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Finding the Fourth Proportional to 3,123.91, 4,309.50 and 2,283.22

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Solution

The fourth proportional to 3,123.91, 4,309.50 and 2,283.22 is: 3,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.91 : 4,309.50 = 2,283.22 : x
  2. Step 2: Convert to fraction form
    3,123.91/4,309.50 = 2,283.22/x
  3. Step 3: Cross multiply
    3,123.91x = 4,309.50 × 2,283.22
  4. Step 4: Simplify right side
    3,123.91x = 9,839,536.59
  5. Step 5: Solve for x
    x = 9,839,536.59/3,123.91
  6. Step 6: Final answer
    x = 3,149.75

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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.