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Finding the Fourth Proportional to 3,610.50, 5,387.81 and 3,221.70

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Solution

The fourth proportional to 3,610.50, 5,387.81 and 3,221.70 is: 4,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.50 : 5,387.81 = 3,221.70 : x
  2. Step 2: Convert to fraction form
    3,610.50/5,387.81 = 3,221.70/x
  3. Step 3: Cross multiply
    3,610.50x = 5,387.81 × 3,221.70
  4. Step 4: Simplify right side
    3,610.50x = 17,357,907.48
  5. Step 5: Solve for x
    x = 17,357,907.48/3,610.50
  6. Step 6: Final answer
    x = 4,807.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.