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Finding the Fourth Proportional to 4,581.99, 6,873.80 and 1,462.68

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Solution

The fourth proportional to 4,581.99, 6,873.80 and 1,462.68 is: 2,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.99 : 6,873.80 = 1,462.68 : x
  2. Step 2: Convert to fraction form
    4,581.99/6,873.80 = 1,462.68/x
  3. Step 3: Cross multiply
    4,581.99x = 6,873.80 × 1,462.68
  4. Step 4: Simplify right side
    4,581.99x = 10,054,169.78
  5. Step 5: Solve for x
    x = 10,054,169.78/4,581.99
  6. Step 6: Final answer
    x = 2,194.28

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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.