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Finding the Fourth Proportional to 3,932, 5,429.40 and 3,440.33

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Solution

The fourth proportional to 3,932, 5,429.40 and 3,440.33 is: 4,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932 : 5,429.40 = 3,440.33 : x
  2. Step 2: Convert to fraction form
    3,932/5,429.40 = 3,440.33/x
  3. Step 3: Cross multiply
    3,932x = 5,429.40 × 3,440.33
  4. Step 4: Simplify right side
    3,932x = 18,678,927.70
  5. Step 5: Solve for x
    x = 18,678,927.70/3,932
  6. Step 6: Final answer
    x = 4,750.49

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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.