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Finding the Fourth Proportional to 5,077.92, 7,609.74 and 2,406.68

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Solution

The fourth proportional to 5,077.92, 7,609.74 and 2,406.68 is: 3,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.92 : 7,609.74 = 2,406.68 : x
  2. Step 2: Convert to fraction form
    5,077.92/7,609.74 = 2,406.68/x
  3. Step 3: Cross multiply
    5,077.92x = 7,609.74 × 2,406.68
  4. Step 4: Simplify right side
    5,077.92x = 18,314,171.01
  5. Step 5: Solve for x
    x = 18,314,171.01/5,077.92
  6. Step 6: Final answer
    x = 3,606.63

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1.5x scale

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.