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Finding the Fourth Proportional to 4,932, 7,388.69 and 3,823.31

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Solution

The fourth proportional to 4,932, 7,388.69 and 3,823.31 is: 5,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932 : 7,388.69 = 3,823.31 : x
  2. Step 2: Convert to fraction form
    4,932/7,388.69 = 3,823.31/x
  3. Step 3: Cross multiply
    4,932x = 7,388.69 × 3,823.31
  4. Step 4: Simplify right side
    4,932x = 28,249,251.72
  5. Step 5: Solve for x
    x = 28,249,251.72/4,932
  6. Step 6: Final answer
    x = 5,727.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.