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Finding the Fourth Proportional to 3,299.34, 4,949.56 and 1,567.02

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Solution

The fourth proportional to 3,299.34, 4,949.56 and 1,567.02 is: 2,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.34 : 4,949.56 = 1,567.02 : x
  2. Step 2: Convert to fraction form
    3,299.34/4,949.56 = 1,567.02/x
  3. Step 3: Cross multiply
    3,299.34x = 4,949.56 × 1,567.02
  4. Step 4: Simplify right side
    3,299.34x = 7,756,059.51
  5. Step 5: Solve for x
    x = 7,756,059.51/3,299.34
  6. Step 6: Final answer
    x = 2,350.79

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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.