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Finding the Fourth Proportional to 3,159.27, 4,739.04 and 967.95

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Solution

The fourth proportional to 3,159.27, 4,739.04 and 967.95 is: 1,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.27 : 4,739.04 = 967.95 : x
  2. Step 2: Convert to fraction form
    3,159.27/4,739.04 = 967.95/x
  3. Step 3: Cross multiply
    3,159.27x = 4,739.04 × 967.95
  4. Step 4: Simplify right side
    3,159.27x = 4,587,153.77
  5. Step 5: Solve for x
    x = 4,587,153.77/3,159.27
  6. Step 6: Final answer
    x = 1,451.97

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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.