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Finding the Fourth Proportional to 4,738.76, 7,098.80 and 4,469.02

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Solution

The fourth proportional to 4,738.76, 7,098.80 and 4,469.02 is: 6,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.76 : 7,098.80 = 4,469.02 : x
  2. Step 2: Convert to fraction form
    4,738.76/7,098.80 = 4,469.02/x
  3. Step 3: Cross multiply
    4,738.76x = 7,098.80 × 4,469.02
  4. Step 4: Simplify right side
    4,738.76x = 31,724,679.18
  5. Step 5: Solve for x
    x = 31,724,679.18/4,738.76
  6. Step 6: Final answer
    x = 6,694.72

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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.