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Finding the Fourth Proportional to 7,579.73, 10,459.77 and 4,222.38

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Solution

The fourth proportional to 7,579.73, 10,459.77 and 4,222.38 is: 5,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579.73 : 10,459.77 = 4,222.38 : x
  2. Step 2: Convert to fraction form
    7,579.73/10,459.77 = 4,222.38/x
  3. Step 3: Cross multiply
    7,579.73x = 10,459.77 × 4,222.38
  4. Step 4: Simplify right side
    7,579.73x = 44,165,123.65
  5. Step 5: Solve for x
    x = 44,165,123.65/7,579.73
  6. Step 6: Final answer
    x = 5,826.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.