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Finding the Fourth Proportional to 3,937.96, 5,906.08 and 1,164.16

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Solution

The fourth proportional to 3,937.96, 5,906.08 and 1,164.16 is: 1,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.96 : 5,906.08 = 1,164.16 : x
  2. Step 2: Convert to fraction form
    3,937.96/5,906.08 = 1,164.16/x
  3. Step 3: Cross multiply
    3,937.96x = 5,906.08 × 1,164.16
  4. Step 4: Simplify right side
    3,937.96x = 6,875,586.74
  5. Step 5: Solve for x
    x = 6,875,586.74/3,937.96
  6. Step 6: Final answer
    x = 1,745.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.