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Finding the Fourth Proportional to 3,338.21, 5,007.51 and 966.35

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Solution

The fourth proportional to 3,338.21, 5,007.51 and 966.35 is: 1,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.21 : 5,007.51 = 966.35 : x
  2. Step 2: Convert to fraction form
    3,338.21/5,007.51 = 966.35/x
  3. Step 3: Cross multiply
    3,338.21x = 5,007.51 × 966.35
  4. Step 4: Simplify right side
    3,338.21x = 4,838,982.25
  5. Step 5: Solve for x
    x = 4,838,982.25/3,338.21
  6. Step 6: Final answer
    x = 1,449.58

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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.