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Finding the Fourth Proportional to 4,800, 6,584.20 and 4,758.40

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Solution

The fourth proportional to 4,800, 6,584.20 and 4,758.40 is: 6,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800 : 6,584.20 = 4,758.40 : x
  2. Step 2: Convert to fraction form
    4,800/6,584.20 = 4,758.40/x
  3. Step 3: Cross multiply
    4,800x = 6,584.20 × 4,758.40
  4. Step 4: Simplify right side
    4,800x = 31,330,257.28
  5. Step 5: Solve for x
    x = 31,330,257.28/4,800
  6. Step 6: Final answer
    x = 6,527.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.