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Finding the Fourth Proportional to 3,663.52, 5,494.94 and 2,966.80

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Solution

The fourth proportional to 3,663.52, 5,494.94 and 2,966.80 is: 4,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.52 : 5,494.94 = 2,966.80 : x
  2. Step 2: Convert to fraction form
    3,663.52/5,494.94 = 2,966.80/x
  3. Step 3: Cross multiply
    3,663.52x = 5,494.94 × 2,966.80
  4. Step 4: Simplify right side
    3,663.52x = 16,302,387.99
  5. Step 5: Solve for x
    x = 16,302,387.99/3,663.52
  6. Step 6: Final answer
    x = 4,449.92

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1.5x scale

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.