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Finding the Fourth Proportional to 3,702.16, 5,560.26 and 3,278.80

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Solution

The fourth proportional to 3,702.16, 5,560.26 and 3,278.80 is: 4,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.16 : 5,560.26 = 3,278.80 : x
  2. Step 2: Convert to fraction form
    3,702.16/5,560.26 = 3,278.80/x
  3. Step 3: Cross multiply
    3,702.16x = 5,560.26 × 3,278.80
  4. Step 4: Simplify right side
    3,702.16x = 18,230,980.49
  5. Step 5: Solve for x
    x = 18,230,980.49/3,702.16
  6. Step 6: Final answer
    x = 4,924.42

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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.