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Finding the Fourth Proportional to 3,106.62, 4,660.74 and 2,712.96

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Solution

The fourth proportional to 3,106.62, 4,660.74 and 2,712.96 is: 4,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.62 : 4,660.74 = 2,712.96 : x
  2. Step 2: Convert to fraction form
    3,106.62/4,660.74 = 2,712.96/x
  3. Step 3: Cross multiply
    3,106.62x = 4,660.74 × 2,712.96
  4. Step 4: Simplify right side
    3,106.62x = 12,644,401.19
  5. Step 5: Solve for x
    x = 12,644,401.19/3,106.62
  6. Step 6: Final answer
    x = 4,070.15

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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.