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Finding the Fourth Proportional to 5,512.32, 7,608.96 and 3,649.92

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Solution

The fourth proportional to 5,512.32, 7,608.96 and 3,649.92 is: 5,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512.32 : 7,608.96 = 3,649.92 : x
  2. Step 2: Convert to fraction form
    5,512.32/7,608.96 = 3,649.92/x
  3. Step 3: Cross multiply
    5,512.32x = 7,608.96 × 3,649.92
  4. Step 4: Simplify right side
    5,512.32x = 27,772,095.28
  5. Step 5: Solve for x
    x = 27,772,095.28/5,512.32
  6. Step 6: Final answer
    x = 5,038.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.