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Finding the Fourth Proportional to 3,520.92, 5,281.40 and 923.80

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Solution

The fourth proportional to 3,520.92, 5,281.40 and 923.80 is: 1,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.92 : 5,281.40 = 923.80 : x
  2. Step 2: Convert to fraction form
    3,520.92/5,281.40 = 923.80/x
  3. Step 3: Cross multiply
    3,520.92x = 5,281.40 × 923.80
  4. Step 4: Simplify right side
    3,520.92x = 4,878,957.32
  5. Step 5: Solve for x
    x = 4,878,957.32/3,520.92
  6. Step 6: Final answer
    x = 1,385.71

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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.