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Finding the Fourth Proportional to 5,853.57, 8,767.36 and 4,205.17

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Solution

The fourth proportional to 5,853.57, 8,767.36 and 4,205.17 is: 6,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.57 : 8,767.36 = 4,205.17 : x
  2. Step 2: Convert to fraction form
    5,853.57/8,767.36 = 4,205.17/x
  3. Step 3: Cross multiply
    5,853.57x = 8,767.36 × 4,205.17
  4. Step 4: Simplify right side
    5,853.57x = 36,868,239.25
  5. Step 5: Solve for x
    x = 36,868,239.25/5,853.57
  6. Step 6: Final answer
    x = 6,298.42

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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.