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Finding the Fourth Proportional to 3,266.64, 4,508.96 and 2,829.24

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Solution

The fourth proportional to 3,266.64, 4,508.96 and 2,829.24 is: 3,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.64 : 4,508.96 = 2,829.24 : x
  2. Step 2: Convert to fraction form
    3,266.64/4,508.96 = 2,829.24/x
  3. Step 3: Cross multiply
    3,266.64x = 4,508.96 × 2,829.24
  4. Step 4: Simplify right side
    3,266.64x = 12,756,929.99
  5. Step 5: Solve for x
    x = 12,756,929.99/3,266.64
  6. Step 6: Final answer
    x = 3,905.21

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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.