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Finding the Fourth Proportional to 3,266.16, 4,493.12 and 2,866.08

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Solution

The fourth proportional to 3,266.16, 4,493.12 and 2,866.08 is: 3,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.16 : 4,493.12 = 2,866.08 : x
  2. Step 2: Convert to fraction form
    3,266.16/4,493.12 = 2,866.08/x
  3. Step 3: Cross multiply
    3,266.16x = 4,493.12 × 2,866.08
  4. Step 4: Simplify right side
    3,266.16x = 12,877,641.37
  5. Step 5: Solve for x
    x = 12,877,641.37/3,266.16
  6. Step 6: Final answer
    x = 3,942.75

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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.