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Finding the Fourth Proportional to 3,841.63, 5,761.89 and 1,068.52

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Solution

The fourth proportional to 3,841.63, 5,761.89 and 1,068.52 is: 1,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.63 : 5,761.89 = 1,068.52 : x
  2. Step 2: Convert to fraction form
    3,841.63/5,761.89 = 1,068.52/x
  3. Step 3: Cross multiply
    3,841.63x = 5,761.89 × 1,068.52
  4. Step 4: Simplify right side
    3,841.63x = 6,156,694.70
  5. Step 5: Solve for x
    x = 6,156,694.70/3,841.63
  6. Step 6: Final answer
    x = 1,602.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.