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Finding the Fourth Proportional to 3,117.88, 4,297.62 and 2,942.92

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Solution

The fourth proportional to 3,117.88, 4,297.62 and 2,942.92 is: 4,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.88 : 4,297.62 = 2,942.92 : x
  2. Step 2: Convert to fraction form
    3,117.88/4,297.62 = 2,942.92/x
  3. Step 3: Cross multiply
    3,117.88x = 4,297.62 × 2,942.92
  4. Step 4: Simplify right side
    3,117.88x = 12,647,551.85
  5. Step 5: Solve for x
    x = 12,647,551.85/3,117.88
  6. Step 6: Final answer
    x = 4,056.46

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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.