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Finding the Fourth Proportional to 3,304.05, 4,956.33 and 964.11

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Solution

The fourth proportional to 3,304.05, 4,956.33 and 964.11 is: 1,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.05 : 4,956.33 = 964.11 : x
  2. Step 2: Convert to fraction form
    3,304.05/4,956.33 = 964.11/x
  3. Step 3: Cross multiply
    3,304.05x = 4,956.33 × 964.11
  4. Step 4: Simplify right side
    3,304.05x = 4,778,447.32
  5. Step 5: Solve for x
    x = 4,778,447.32/3,304.05
  6. Step 6: Final answer
    x = 1,446.24

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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.