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Finding the Fourth Proportional to 5,443.77, 7,514.10 and 3,205.47

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Solution

The fourth proportional to 5,443.77, 7,514.10 and 3,205.47 is: 4,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.77 : 7,514.10 = 3,205.47 : x
  2. Step 2: Convert to fraction form
    5,443.77/7,514.10 = 3,205.47/x
  3. Step 3: Cross multiply
    5,443.77x = 7,514.10 × 3,205.47
  4. Step 4: Simplify right side
    5,443.77x = 24,086,222.13
  5. Step 5: Solve for x
    x = 24,086,222.13/5,443.77
  6. Step 6: Final answer
    x = 4,424.55

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