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Finding the Fourth Proportional to 5,297.15, 7,306.88 and 3,504.66

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Solution

The fourth proportional to 5,297.15, 7,306.88 and 3,504.66 is: 4,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.15 : 7,306.88 = 3,504.66 : x
  2. Step 2: Convert to fraction form
    5,297.15/7,306.88 = 3,504.66/x
  3. Step 3: Cross multiply
    5,297.15x = 7,306.88 × 3,504.66
  4. Step 4: Simplify right side
    5,297.15x = 25,608,112.54
  5. Step 5: Solve for x
    x = 25,608,112.54/5,297.15
  6. Step 6: Final answer
    x = 4,834.32

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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.