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Finding the Fourth Proportional to 5,221.74, 7,834.53 and 2,449.31

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Solution

The fourth proportional to 5,221.74, 7,834.53 and 2,449.31 is: 3,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.74 : 7,834.53 = 2,449.31 : x
  2. Step 2: Convert to fraction form
    5,221.74/7,834.53 = 2,449.31/x
  3. Step 3: Cross multiply
    5,221.74x = 7,834.53 × 2,449.31
  4. Step 4: Simplify right side
    5,221.74x = 19,189,153.50
  5. Step 5: Solve for x
    x = 19,189,153.50/5,221.74
  6. Step 6: Final answer
    x = 3,674.86

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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.