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Finding the Fourth Proportional to 5,231.40, 7,218.54 and 3,135

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Solution

The fourth proportional to 5,231.40, 7,218.54 and 3,135 is: 4,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.40 : 7,218.54 = 3,135 : x
  2. Step 2: Convert to fraction form
    5,231.40/7,218.54 = 3,135/x
  3. Step 3: Cross multiply
    5,231.40x = 7,218.54 × 3,135
  4. Step 4: Simplify right side
    5,231.40x = 22,630,122.90
  5. Step 5: Solve for x
    x = 22,630,122.90/5,231.40
  6. Step 6: Final answer
    x = 4,325.83

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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.