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Finding the Fourth Proportional to 3,230.96, 4,452.14 and 3,056.63

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Solution

The fourth proportional to 3,230.96, 4,452.14 and 3,056.63 is: 4,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.96 : 4,452.14 = 3,056.63 : x
  2. Step 2: Convert to fraction form
    3,230.96/4,452.14 = 3,056.63/x
  3. Step 3: Cross multiply
    3,230.96x = 4,452.14 × 3,056.63
  4. Step 4: Simplify right side
    3,230.96x = 13,608,530.07
  5. Step 5: Solve for x
    x = 13,608,530.07/3,230.96
  6. Step 6: Final answer
    x = 4,211.92

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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.