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Finding the Fourth Proportional to 3,657.25, 5,047.82 and 2,524.51

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Solution

The fourth proportional to 3,657.25, 5,047.82 and 2,524.51 is: 3,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.25 : 5,047.82 = 2,524.51 : x
  2. Step 2: Convert to fraction form
    3,657.25/5,047.82 = 2,524.51/x
  3. Step 3: Cross multiply
    3,657.25x = 5,047.82 × 2,524.51
  4. Step 4: Simplify right side
    3,657.25x = 12,743,272.07
  5. Step 5: Solve for x
    x = 12,743,272.07/3,657.25
  6. Step 6: Final answer
    x = 3,484.39

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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.