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Finding the Fourth Proportional to 4,579.92, 6,869.00 and 1,459.94

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Solution

The fourth proportional to 4,579.92, 6,869.00 and 1,459.94 is: 2,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,579.92 : 6,869.00 = 1,459.94 : x
  2. Step 2: Convert to fraction form
    4,579.92/6,869.00 = 1,459.94/x
  3. Step 3: Cross multiply
    4,579.92x = 6,869.00 × 1,459.94
  4. Step 4: Simplify right side
    4,579.92x = 10,028,286.22
  5. Step 5: Solve for x
    x = 10,028,286.22/4,579.92
  6. Step 6: Final answer
    x = 2,189.62

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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.