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Finding the Fourth Proportional to 5,853.97, 8,074.79 and 4,084.93

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Solution

The fourth proportional to 5,853.97, 8,074.79 and 4,084.93 is: 5,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.97 : 8,074.79 = 4,084.93 : x
  2. Step 2: Convert to fraction form
    5,853.97/8,074.79 = 4,084.93/x
  3. Step 3: Cross multiply
    5,853.97x = 8,074.79 × 4,084.93
  4. Step 4: Simplify right side
    5,853.97x = 32,984,931.49
  5. Step 5: Solve for x
    x = 32,984,931.49/5,853.97
  6. Step 6: Final answer
    x = 5,634.63

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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.