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Finding the Fourth Proportional to 3,702.38, 5,552.34 and 1,236.46

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Solution

The fourth proportional to 3,702.38, 5,552.34 and 1,236.46 is: 1,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.38 : 5,552.34 = 1,236.46 : x
  2. Step 2: Convert to fraction form
    3,702.38/5,552.34 = 1,236.46/x
  3. Step 3: Cross multiply
    3,702.38x = 5,552.34 × 1,236.46
  4. Step 4: Simplify right side
    3,702.38x = 6,865,246.32
  5. Step 5: Solve for x
    x = 6,865,246.32/3,702.38
  6. Step 6: Final answer
    x = 1,854.28

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