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Finding the Fourth Proportional to 3,285.84, 4,891.56 and 3,266.40

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Solution

The fourth proportional to 3,285.84, 4,891.56 and 3,266.40 is: 4,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.84 : 4,891.56 = 3,266.40 : x
  2. Step 2: Convert to fraction form
    3,285.84/4,891.56 = 3,266.40/x
  3. Step 3: Cross multiply
    3,285.84x = 4,891.56 × 3,266.40
  4. Step 4: Simplify right side
    3,285.84x = 15,977,791.58
  5. Step 5: Solve for x
    x = 15,977,791.58/3,285.84
  6. Step 6: Final answer
    x = 4,862.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.