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Finding the Fourth Proportional to 3,299.96, 4,949.94 and 1,353.53

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Solution

The fourth proportional to 3,299.96, 4,949.94 and 1,353.53 is: 2,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.96 : 4,949.94 = 1,353.53 : x
  2. Step 2: Convert to fraction form
    3,299.96/4,949.94 = 1,353.53/x
  3. Step 3: Cross multiply
    3,299.96x = 4,949.94 × 1,353.53
  4. Step 4: Simplify right side
    3,299.96x = 6,699,870.47
  5. Step 5: Solve for x
    x = 6,699,870.47/3,299.96
  6. Step 6: Final answer
    x = 2,030.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.