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Finding the Fourth Proportional to 3,497.89, 5,243.71 and 1,306.72

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Solution

The fourth proportional to 3,497.89, 5,243.71 and 1,306.72 is: 1,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.89 : 5,243.71 = 1,306.72 : x
  2. Step 2: Convert to fraction form
    3,497.89/5,243.71 = 1,306.72/x
  3. Step 3: Cross multiply
    3,497.89x = 5,243.71 × 1,306.72
  4. Step 4: Simplify right side
    3,497.89x = 6,852,060.73
  5. Step 5: Solve for x
    x = 6,852,060.73/3,497.89
  6. Step 6: Final answer
    x = 1,958.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.