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Finding the Fourth Proportional to 3,801.82, 5,702.68 and 1,204.76

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Solution

The fourth proportional to 3,801.82, 5,702.68 and 1,204.76 is: 1,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.82 : 5,702.68 = 1,204.76 : x
  2. Step 2: Convert to fraction form
    3,801.82/5,702.68 = 1,204.76/x
  3. Step 3: Cross multiply
    3,801.82x = 5,702.68 × 1,204.76
  4. Step 4: Simplify right side
    3,801.82x = 6,870,329.23
  5. Step 5: Solve for x
    x = 6,870,329.23/3,801.82
  6. Step 6: Final answer
    x = 1,807.12

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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.