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Finding the Fourth Proportional to 4,252.96, 5,865.84 and 3,077.92

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Solution

The fourth proportional to 4,252.96, 5,865.84 and 3,077.92 is: 4,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.96 : 5,865.84 = 3,077.92 : x
  2. Step 2: Convert to fraction form
    4,252.96/5,865.84 = 3,077.92/x
  3. Step 3: Cross multiply
    4,252.96x = 5,865.84 × 3,077.92
  4. Step 4: Simplify right side
    4,252.96x = 18,054,586.25
  5. Step 5: Solve for x
    x = 18,054,586.25/4,252.96
  6. Step 6: Final answer
    x = 4,245.18

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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.