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Finding the Fourth Proportional to 3,283.62, 4,925.84 and 2,841.36

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Solution

The fourth proportional to 3,283.62, 4,925.84 and 2,841.36 is: 4,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.62 : 4,925.84 = 2,841.36 : x
  2. Step 2: Convert to fraction form
    3,283.62/4,925.84 = 2,841.36/x
  3. Step 3: Cross multiply
    3,283.62x = 4,925.84 × 2,841.36
  4. Step 4: Simplify right side
    3,283.62x = 13,996,070.54
  5. Step 5: Solve for x
    x = 13,996,070.54/3,283.62
  6. Step 6: Final answer
    x = 4,262.39

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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.