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Finding the Fourth Proportional to 5,651.76, 7,799.44 and 3,443.76

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Solution

The fourth proportional to 5,651.76, 7,799.44 and 3,443.76 is: 4,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.76 : 7,799.44 = 3,443.76 : x
  2. Step 2: Convert to fraction form
    5,651.76/7,799.44 = 3,443.76/x
  3. Step 3: Cross multiply
    5,651.76x = 7,799.44 × 3,443.76
  4. Step 4: Simplify right side
    5,651.76x = 26,859,399.49
  5. Step 5: Solve for x
    x = 26,859,399.49/5,651.76
  6. Step 6: Final answer
    x = 4,752.40

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Half scale
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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.