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Finding the Fourth Proportional to 3,429.88, 4,702.34 and 3,367.60

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Solution

The fourth proportional to 3,429.88, 4,702.34 and 3,367.60 is: 4,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.88 : 4,702.34 = 3,367.60 : x
  2. Step 2: Convert to fraction form
    3,429.88/4,702.34 = 3,367.60/x
  3. Step 3: Cross multiply
    3,429.88x = 4,702.34 × 3,367.60
  4. Step 4: Simplify right side
    3,429.88x = 15,835,600.18
  5. Step 5: Solve for x
    x = 15,835,600.18/3,429.88
  6. Step 6: Final answer
    x = 4,616.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.