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Finding the Fourth Proportional to 3,465.08, 5,197.13 and 966.43

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Solution

The fourth proportional to 3,465.08, 5,197.13 and 966.43 is: 1,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.08 : 5,197.13 = 966.43 : x
  2. Step 2: Convert to fraction form
    3,465.08/5,197.13 = 966.43/x
  3. Step 3: Cross multiply
    3,465.08x = 5,197.13 × 966.43
  4. Step 4: Simplify right side
    3,465.08x = 5,022,667.63
  5. Step 5: Solve for x
    x = 5,022,667.63/3,465.08
  6. Step 6: Final answer
    x = 1,449.51

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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.