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Finding the Fourth Proportional to 5,914.80, 8,872.20 and 4,286.70

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Solution

The fourth proportional to 5,914.80, 8,872.20 and 4,286.70 is: 6,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.80 : 8,872.20 = 4,286.70 : x
  2. Step 2: Convert to fraction form
    5,914.80/8,872.20 = 4,286.70/x
  3. Step 3: Cross multiply
    5,914.80x = 8,872.20 × 4,286.70
  4. Step 4: Simplify right side
    5,914.80x = 38,032,459.74
  5. Step 5: Solve for x
    x = 38,032,459.74/5,914.80
  6. Step 6: Final answer
    x = 6,430.05

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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.