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Finding the Fourth Proportional to 5,894.68, 8,134.68 and 3,242.12

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Solution

The fourth proportional to 5,894.68, 8,134.68 and 3,242.12 is: 4,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.68 : 8,134.68 = 3,242.12 : x
  2. Step 2: Convert to fraction form
    5,894.68/8,134.68 = 3,242.12/x
  3. Step 3: Cross multiply
    5,894.68x = 8,134.68 × 3,242.12
  4. Step 4: Simplify right side
    5,894.68x = 26,373,608.72
  5. Step 5: Solve for x
    x = 26,373,608.72/5,894.68
  6. Step 6: Final answer
    x = 4,474.14

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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.