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Finding the Fourth Proportional to 3,392.85, 5,089.58 and 927.68

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Solution

The fourth proportional to 3,392.85, 5,089.58 and 927.68 is: 1,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.85 : 5,089.58 = 927.68 : x
  2. Step 2: Convert to fraction form
    3,392.85/5,089.58 = 927.68/x
  3. Step 3: Cross multiply
    3,392.85x = 5,089.58 × 927.68
  4. Step 4: Simplify right side
    3,392.85x = 4,721,496.94
  5. Step 5: Solve for x
    x = 4,721,496.94/3,392.85
  6. Step 6: Final answer
    x = 1,391.60

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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.