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Finding the Fourth Proportional to 3,502.23, 5,253.35 and 3,288.39

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Solution

The fourth proportional to 3,502.23, 5,253.35 and 3,288.39 is: 4,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.23 : 5,253.35 = 3,288.39 : x
  2. Step 2: Convert to fraction form
    3,502.23/5,253.35 = 3,288.39/x
  3. Step 3: Cross multiply
    3,502.23x = 5,253.35 × 3,288.39
  4. Step 4: Simplify right side
    3,502.23x = 17,275,047.16
  5. Step 5: Solve for x
    x = 17,275,047.16/3,502.23
  6. Step 6: Final answer
    x = 4,932.59

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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.