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Finding the Fourth Proportional to 3,801.69, 5,702.49 and 1,204.63

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Solution

The fourth proportional to 3,801.69, 5,702.49 and 1,204.63 is: 1,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.69 : 5,702.49 = 1,204.63 : x
  2. Step 2: Convert to fraction form
    3,801.69/5,702.49 = 1,204.63/x
  3. Step 3: Cross multiply
    3,801.69x = 5,702.49 × 1,204.63
  4. Step 4: Simplify right side
    3,801.69x = 6,869,390.53
  5. Step 5: Solve for x
    x = 6,869,390.53/3,801.69
  6. Step 6: Final answer
    x = 1,806.93

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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.