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Finding the Fourth Proportional to 4,902.92, 7,347.18 and 3,865.46

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Solution

The fourth proportional to 4,902.92, 7,347.18 and 3,865.46 is: 5,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.92 : 7,347.18 = 3,865.46 : x
  2. Step 2: Convert to fraction form
    4,902.92/7,347.18 = 3,865.46/x
  3. Step 3: Cross multiply
    4,902.92x = 7,347.18 × 3,865.46
  4. Step 4: Simplify right side
    4,902.92x = 28,400,230.40
  5. Step 5: Solve for x
    x = 28,400,230.40/4,902.92
  6. Step 6: Final answer
    x = 5,792.51

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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.