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Finding the Fourth Proportional to 6,131.20, 8,462.24 and 4,035.20

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Solution

The fourth proportional to 6,131.20, 8,462.24 and 4,035.20 is: 5,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.20 : 8,462.24 = 4,035.20 : x
  2. Step 2: Convert to fraction form
    6,131.20/8,462.24 = 4,035.20/x
  3. Step 3: Cross multiply
    6,131.20x = 8,462.24 × 4,035.20
  4. Step 4: Simplify right side
    6,131.20x = 34,146,830.85
  5. Step 5: Solve for x
    x = 34,146,830.85/6,131.20
  6. Step 6: Final answer
    x = 5,569.36

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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.