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Finding the Fourth Proportional to 5,228, 7,213.96 and 2,869.52

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Solution

The fourth proportional to 5,228, 7,213.96 and 2,869.52 is: 3,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228 : 7,213.96 = 2,869.52 : x
  2. Step 2: Convert to fraction form
    5,228/7,213.96 = 2,869.52/x
  3. Step 3: Cross multiply
    5,228x = 7,213.96 × 2,869.52
  4. Step 4: Simplify right side
    5,228x = 20,700,602.50
  5. Step 5: Solve for x
    x = 20,700,602.50/5,228
  6. Step 6: Final answer
    x = 3,959.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.