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Finding the Fourth Proportional to 3,243.67, 4,870.33 and 2,652.50

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Solution

The fourth proportional to 3,243.67, 4,870.33 and 2,652.50 is: 3,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.67 : 4,870.33 = 2,652.50 : x
  2. Step 2: Convert to fraction form
    3,243.67/4,870.33 = 2,652.50/x
  3. Step 3: Cross multiply
    3,243.67x = 4,870.33 × 2,652.50
  4. Step 4: Simplify right side
    3,243.67x = 12,918,528.47
  5. Step 5: Solve for x
    x = 12,918,528.47/3,243.67
  6. Step 6: Final answer
    x = 3,982.69

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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.