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Finding the Fourth Proportional to 3,407.95, 5,108.25 and 1,649.24

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Solution

The fourth proportional to 3,407.95, 5,108.25 and 1,649.24 is: 2,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.95 : 5,108.25 = 1,649.24 : x
  2. Step 2: Convert to fraction form
    3,407.95/5,108.25 = 1,649.24/x
  3. Step 3: Cross multiply
    3,407.95x = 5,108.25 × 1,649.24
  4. Step 4: Simplify right side
    3,407.95x = 8,424,734.89
  5. Step 5: Solve for x
    x = 8,424,734.89/3,407.95
  6. Step 6: Final answer
    x = 2,472.08

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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.