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Finding the Fourth Proportional to 4,287.30, 6,433.65 and 1,822.15

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Solution

The fourth proportional to 4,287.30, 6,433.65 and 1,822.15 is: 2,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.30 : 6,433.65 = 1,822.15 : x
  2. Step 2: Convert to fraction form
    4,287.30/6,433.65 = 1,822.15/x
  3. Step 3: Cross multiply
    4,287.30x = 6,433.65 × 1,822.15
  4. Step 4: Simplify right side
    4,287.30x = 11,723,052.33
  5. Step 5: Solve for x
    x = 11,723,052.33/4,287.30
  6. Step 6: Final answer
    x = 2,734.36

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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.