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Finding the Fourth Proportional to 5,782.96, 8,679.30 and 2,498.56

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Solution

The fourth proportional to 5,782.96, 8,679.30 and 2,498.56 is: 3,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.96 : 8,679.30 = 2,498.56 : x
  2. Step 2: Convert to fraction form
    5,782.96/8,679.30 = 2,498.56/x
  3. Step 3: Cross multiply
    5,782.96x = 8,679.30 × 2,498.56
  4. Step 4: Simplify right side
    5,782.96x = 21,685,751.81
  5. Step 5: Solve for x
    x = 21,685,751.81/5,782.96
  6. Step 6: Final answer
    x = 3,749.94

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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.