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Finding the Fourth Proportional to 3,605.68, 4,965.54 and 3,310.42

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Solution

The fourth proportional to 3,605.68, 4,965.54 and 3,310.42 is: 4,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.68 : 4,965.54 = 3,310.42 : x
  2. Step 2: Convert to fraction form
    3,605.68/4,965.54 = 3,310.42/x
  3. Step 3: Cross multiply
    3,605.68x = 4,965.54 × 3,310.42
  4. Step 4: Simplify right side
    3,605.68x = 16,438,022.93
  5. Step 5: Solve for x
    x = 16,438,022.93/3,605.68
  6. Step 6: Final answer
    x = 4,558.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.