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Finding the Fourth Proportional to 5,872.42, 8,811.06 and 3,274.75

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Solution

The fourth proportional to 5,872.42, 8,811.06 and 3,274.75 is: 4,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.42 : 8,811.06 = 3,274.75 : x
  2. Step 2: Convert to fraction form
    5,872.42/8,811.06 = 3,274.75/x
  3. Step 3: Cross multiply
    5,872.42x = 8,811.06 × 3,274.75
  4. Step 4: Simplify right side
    5,872.42x = 28,854,018.74
  5. Step 5: Solve for x
    x = 28,854,018.74/5,872.42
  6. Step 6: Final answer
    x = 4,913.48

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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.