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Finding the Fourth Proportional to 3,497.69, 5,245.11 and 1,306.58

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Solution

The fourth proportional to 3,497.69, 5,245.11 and 1,306.58 is: 1,959.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.69 : 5,245.11 = 1,306.58 : x
  2. Step 2: Convert to fraction form
    3,497.69/5,245.11 = 1,306.58/x
  3. Step 3: Cross multiply
    3,497.69x = 5,245.11 × 1,306.58
  4. Step 4: Simplify right side
    3,497.69x = 6,853,129.60
  5. Step 5: Solve for x
    x = 6,853,129.60/3,497.69
  6. Step 6: Final answer
    x = 1,959.33

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Why These Related Problems?

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