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Finding the Fourth Proportional to 3,196.22, 4,410.23 and 2,937.84

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Solution

The fourth proportional to 3,196.22, 4,410.23 and 2,937.84 is: 4,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.22 : 4,410.23 = 2,937.84 : x
  2. Step 2: Convert to fraction form
    3,196.22/4,410.23 = 2,937.84/x
  3. Step 3: Cross multiply
    3,196.22x = 4,410.23 × 2,937.84
  4. Step 4: Simplify right side
    3,196.22x = 12,956,566.42
  5. Step 5: Solve for x
    x = 12,956,566.42/3,196.22
  6. Step 6: Final answer
    x = 4,053.72

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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.