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Finding the Fourth Proportional to 3,299.21, 4,948.82 and 800.39

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Solution

The fourth proportional to 3,299.21, 4,948.82 and 800.39 is: 1,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.21 : 4,948.82 = 800.39 : x
  2. Step 2: Convert to fraction form
    3,299.21/4,948.82 = 800.39/x
  3. Step 3: Cross multiply
    3,299.21x = 4,948.82 × 800.39
  4. Step 4: Simplify right side
    3,299.21x = 3,960,985.74
  5. Step 5: Solve for x
    x = 3,960,985.74/3,299.21
  6. Step 6: Final answer
    x = 1,200.59

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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.