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Finding the Fourth Proportional to 3,870.88, 5,801.82 and 3,284.08

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Solution

The fourth proportional to 3,870.88, 5,801.82 and 3,284.08 is: 4,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.88 : 5,801.82 = 3,284.08 : x
  2. Step 2: Convert to fraction form
    3,870.88/5,801.82 = 3,284.08/x
  3. Step 3: Cross multiply
    3,870.88x = 5,801.82 × 3,284.08
  4. Step 4: Simplify right side
    3,870.88x = 19,053,641.03
  5. Step 5: Solve for x
    x = 19,053,641.03/3,870.88
  6. Step 6: Final answer
    x = 4,922.30

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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.