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Finding the Fourth Proportional to 3,396.58, 4,684.62 and 2,277.16

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Solution

The fourth proportional to 3,396.58, 4,684.62 and 2,277.16 is: 3,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.58 : 4,684.62 = 2,277.16 : x
  2. Step 2: Convert to fraction form
    3,396.58/4,684.62 = 2,277.16/x
  3. Step 3: Cross multiply
    3,396.58x = 4,684.62 × 2,277.16
  4. Step 4: Simplify right side
    3,396.58x = 10,667,629.28
  5. Step 5: Solve for x
    x = 10,667,629.28/3,396.58
  6. Step 6: Final answer
    x = 3,140.70

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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.