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Finding the Fourth Proportional to 3,773.46, 5,206.74 and 2,375.22

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Solution

The fourth proportional to 3,773.46, 5,206.74 and 2,375.22 is: 3,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.46 : 5,206.74 = 2,375.22 : x
  2. Step 2: Convert to fraction form
    3,773.46/5,206.74 = 2,375.22/x
  3. Step 3: Cross multiply
    3,773.46x = 5,206.74 × 2,375.22
  4. Step 4: Simplify right side
    3,773.46x = 12,367,152.98
  5. Step 5: Solve for x
    x = 12,367,152.98/3,773.46
  6. Step 6: Final answer
    x = 3,277.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.