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Finding the Fourth Proportional to 3,497.09, 5,247.45 and 3,295.40

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Solution

The fourth proportional to 3,497.09, 5,247.45 and 3,295.40 is: 4,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.09 : 5,247.45 = 3,295.40 : x
  2. Step 2: Convert to fraction form
    3,497.09/5,247.45 = 3,295.40/x
  3. Step 3: Cross multiply
    3,497.09x = 5,247.45 × 3,295.40
  4. Step 4: Simplify right side
    3,497.09x = 17,292,446.73
  5. Step 5: Solve for x
    x = 17,292,446.73/3,497.09
  6. Step 6: Final answer
    x = 4,944.81

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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.