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Finding the Fourth Proportional to 5,486.44, 7,574.82 and 4,895.96

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Solution

The fourth proportional to 5,486.44, 7,574.82 and 4,895.96 is: 6,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.44 : 7,574.82 = 4,895.96 : x
  2. Step 2: Convert to fraction form
    5,486.44/7,574.82 = 4,895.96/x
  3. Step 3: Cross multiply
    5,486.44x = 7,574.82 × 4,895.96
  4. Step 4: Simplify right side
    5,486.44x = 37,086,015.73
  5. Step 5: Solve for x
    x = 37,086,015.73/5,486.44
  6. Step 6: Final answer
    x = 6,759.58

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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.