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Finding the Fourth Proportional to 5,686.25, 8,524.13 and 2,906.82

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Solution

The fourth proportional to 5,686.25, 8,524.13 and 2,906.82 is: 4,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.25 : 8,524.13 = 2,906.82 : x
  2. Step 2: Convert to fraction form
    5,686.25/8,524.13 = 2,906.82/x
  3. Step 3: Cross multiply
    5,686.25x = 8,524.13 × 2,906.82
  4. Step 4: Simplify right side
    5,686.25x = 24,778,097.03
  5. Step 5: Solve for x
    x = 24,778,097.03/5,686.25
  6. Step 6: Final answer
    x = 4,357.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.