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Finding the Fourth Proportional to 4,287.52, 6,428.50 and 2,822.22

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Solution

The fourth proportional to 4,287.52, 6,428.50 and 2,822.22 is: 4,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.52 : 6,428.50 = 2,822.22 : x
  2. Step 2: Convert to fraction form
    4,287.52/6,428.50 = 2,822.22/x
  3. Step 3: Cross multiply
    4,287.52x = 6,428.50 × 2,822.22
  4. Step 4: Simplify right side
    4,287.52x = 18,142,641.27
  5. Step 5: Solve for x
    x = 18,142,641.27/4,287.52
  6. Step 6: Final answer
    x = 4,231.50

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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.