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Finding the Fourth Proportional to 4,699.50, 7,049.36 and 1,579.55

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Solution

The fourth proportional to 4,699.50, 7,049.36 and 1,579.55 is: 2,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.50 : 7,049.36 = 1,579.55 : x
  2. Step 2: Convert to fraction form
    4,699.50/7,049.36 = 1,579.55/x
  3. Step 3: Cross multiply
    4,699.50x = 7,049.36 × 1,579.55
  4. Step 4: Simplify right side
    4,699.50x = 11,134,785.29
  5. Step 5: Solve for x
    x = 11,134,785.29/4,699.50
  6. Step 6: Final answer
    x = 2,369.36

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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.