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Finding the Fourth Proportional to 5,230.56, 7,218 and 3,133.20

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Solution

The fourth proportional to 5,230.56, 7,218 and 3,133.20 is: 4,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.56 : 7,218 = 3,133.20 : x
  2. Step 2: Convert to fraction form
    5,230.56/7,218 = 3,133.20/x
  3. Step 3: Cross multiply
    5,230.56x = 7,218 × 3,133.20
  4. Step 4: Simplify right side
    5,230.56x = 22,615,437.60
  5. Step 5: Solve for x
    x = 22,615,437.60/5,230.56
  6. Step 6: Final answer
    x = 4,323.71

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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.