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Finding the Fourth Proportional to 4,866.78, 7,301.22 and 1,579.62

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Solution

The fourth proportional to 4,866.78, 7,301.22 and 1,579.62 is: 2,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.78 : 7,301.22 = 1,579.62 : x
  2. Step 2: Convert to fraction form
    4,866.78/7,301.22 = 1,579.62/x
  3. Step 3: Cross multiply
    4,866.78x = 7,301.22 × 1,579.62
  4. Step 4: Simplify right side
    4,866.78x = 11,533,153.14
  5. Step 5: Solve for x
    x = 11,533,153.14/4,866.78
  6. Step 6: Final answer
    x = 2,369.77

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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.