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Finding the Fourth Proportional to 3,632.80, 5,012.72 and 2,306.40

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Solution

The fourth proportional to 3,632.80, 5,012.72 and 2,306.40 is: 3,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.80 : 5,012.72 = 2,306.40 : x
  2. Step 2: Convert to fraction form
    3,632.80/5,012.72 = 2,306.40/x
  3. Step 3: Cross multiply
    3,632.80x = 5,012.72 × 2,306.40
  4. Step 4: Simplify right side
    3,632.80x = 11,561,337.41
  5. Step 5: Solve for x
    x = 11,561,337.41/3,632.80
  6. Step 6: Final answer
    x = 3,182.49

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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.