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Finding the Fourth Proportional to 5,073.92, 7,608.96 and 2,336

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Solution

The fourth proportional to 5,073.92, 7,608.96 and 2,336 is: 3,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.92 : 7,608.96 = 2,336 : x
  2. Step 2: Convert to fraction form
    5,073.92/7,608.96 = 2,336/x
  3. Step 3: Cross multiply
    5,073.92x = 7,608.96 × 2,336
  4. Step 4: Simplify right side
    5,073.92x = 17,774,530.56
  5. Step 5: Solve for x
    x = 17,774,530.56/5,073.92
  6. Step 6: Final answer
    x = 3,503.12

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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.