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Finding the Fourth Proportional to 3,649.25, 5,445.02 and 3,565.22

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Solution

The fourth proportional to 3,649.25, 5,445.02 and 3,565.22 is: 5,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.25 : 5,445.02 = 3,565.22 : x
  2. Step 2: Convert to fraction form
    3,649.25/5,445.02 = 3,565.22/x
  3. Step 3: Cross multiply
    3,649.25x = 5,445.02 × 3,565.22
  4. Step 4: Simplify right side
    3,649.25x = 19,412,675.89
  5. Step 5: Solve for x
    x = 19,412,675.89/3,649.25
  6. Step 6: Final answer
    x = 5,319.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.