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Finding the Fourth Proportional to 5,853.84, 8,771.01 and 4,118.82

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Solution

The fourth proportional to 5,853.84, 8,771.01 and 4,118.82 is: 6,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.84 : 8,771.01 = 4,118.82 : x
  2. Step 2: Convert to fraction form
    5,853.84/8,771.01 = 4,118.82/x
  3. Step 3: Cross multiply
    5,853.84x = 8,771.01 × 4,118.82
  4. Step 4: Simplify right side
    5,853.84x = 36,126,211.41
  5. Step 5: Solve for x
    x = 36,126,211.41/5,853.84
  6. Step 6: Final answer
    x = 6,171.37

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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.