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Finding the Fourth Proportional to 5,684.82, 7,844.16 and 3,166.14

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Solution

The fourth proportional to 5,684.82, 7,844.16 and 3,166.14 is: 4,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.82 : 7,844.16 = 3,166.14 : x
  2. Step 2: Convert to fraction form
    5,684.82/7,844.16 = 3,166.14/x
  3. Step 3: Cross multiply
    5,684.82x = 7,844.16 × 3,166.14
  4. Step 4: Simplify right side
    5,684.82x = 24,835,708.74
  5. Step 5: Solve for x
    x = 24,835,708.74/5,684.82
  6. Step 6: Final answer
    x = 4,368.78

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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.