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Finding the Fourth Proportional to 4,872.38, 7,296.62 and 4,748.45

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Solution

The fourth proportional to 4,872.38, 7,296.62 and 4,748.45 is: 7,111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.38 : 7,296.62 = 4,748.45 : x
  2. Step 2: Convert to fraction form
    4,872.38/7,296.62 = 4,748.45/x
  3. Step 3: Cross multiply
    4,872.38x = 7,296.62 × 4,748.45
  4. Step 4: Simplify right side
    4,872.38x = 34,647,575.01
  5. Step 5: Solve for x
    x = 34,647,575.01/4,872.38
  6. Step 6: Final answer
    x = 7,111.02

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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.