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Finding the Fourth Proportional to 3,520.70, 5,281.34 and 923.62

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Solution

The fourth proportional to 3,520.70, 5,281.34 and 923.62 is: 1,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.70 : 5,281.34 = 923.62 : x
  2. Step 2: Convert to fraction form
    3,520.70/5,281.34 = 923.62/x
  3. Step 3: Cross multiply
    3,520.70x = 5,281.34 × 923.62
  4. Step 4: Simplify right side
    3,520.70x = 4,877,951.25
  5. Step 5: Solve for x
    x = 4,877,951.25/3,520.70
  6. Step 6: Final answer
    x = 1,385.51

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Why These Related Problems?

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