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Finding the Fourth Proportional to 5,439.85, 7,505.70 and 3,201.82

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Solution

The fourth proportional to 5,439.85, 7,505.70 and 3,201.82 is: 4,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.85 : 7,505.70 = 3,201.82 : x
  2. Step 2: Convert to fraction form
    5,439.85/7,505.70 = 3,201.82/x
  3. Step 3: Cross multiply
    5,439.85x = 7,505.70 × 3,201.82
  4. Step 4: Simplify right side
    5,439.85x = 24,031,900.37
  5. Step 5: Solve for x
    x = 24,031,900.37/5,439.85
  6. Step 6: Final answer
    x = 4,417.75

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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.