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Finding the Fourth Proportional to 3,702.74, 5,555.48 and 1,729.47

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Solution

The fourth proportional to 3,702.74, 5,555.48 and 1,729.47 is: 2,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.74 : 5,555.48 = 1,729.47 : x
  2. Step 2: Convert to fraction form
    3,702.74/5,555.48 = 1,729.47/x
  3. Step 3: Cross multiply
    3,702.74x = 5,555.48 × 1,729.47
  4. Step 4: Simplify right side
    3,702.74x = 9,608,048.18
  5. Step 5: Solve for x
    x = 9,608,048.18/3,702.74
  6. Step 6: Final answer
    x = 2,594.85

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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.