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Finding the Fourth Proportional to 4,134, 5,705.16 and 2,366.16

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Solution

The fourth proportional to 4,134, 5,705.16 and 2,366.16 is: 3,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134 : 5,705.16 = 2,366.16 : x
  2. Step 2: Convert to fraction form
    4,134/5,705.16 = 2,366.16/x
  3. Step 3: Cross multiply
    4,134x = 5,705.16 × 2,366.16
  4. Step 4: Simplify right side
    4,134x = 13,499,321.39
  5. Step 5: Solve for x
    x = 13,499,321.39/4,134
  6. Step 6: Final answer
    x = 3,265.44

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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.