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Finding the Fourth Proportional to 3,852.75, 5,317.52 and 2,196.75

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Solution

The fourth proportional to 3,852.75, 5,317.52 and 2,196.75 is: 3,031.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.75 : 5,317.52 = 2,196.75 : x
  2. Step 2: Convert to fraction form
    3,852.75/5,317.52 = 2,196.75/x
  3. Step 3: Cross multiply
    3,852.75x = 5,317.52 × 2,196.75
  4. Step 4: Simplify right side
    3,852.75x = 11,681,251.08
  5. Step 5: Solve for x
    x = 11,681,251.08/3,852.75
  6. Step 6: Final answer
    x = 3,031.93

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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.