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Finding the Fourth Proportional to 5,306.80, 7,318.49 and 3,607.86

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Solution

The fourth proportional to 5,306.80, 7,318.49 and 3,607.86 is: 4,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.80 : 7,318.49 = 3,607.86 : x
  2. Step 2: Convert to fraction form
    5,306.80/7,318.49 = 3,607.86/x
  3. Step 3: Cross multiply
    5,306.80x = 7,318.49 × 3,607.86
  4. Step 4: Simplify right side
    5,306.80x = 26,404,087.33
  5. Step 5: Solve for x
    x = 26,404,087.33/5,306.80
  6. Step 6: Final answer
    x = 4,975.52

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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.