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Finding the Fourth Proportional to 5,223.25, 7,834.99 and 2,448.40

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Solution

The fourth proportional to 5,223.25, 7,834.99 and 2,448.40 is: 3,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.25 : 7,834.99 = 2,448.40 : x
  2. Step 2: Convert to fraction form
    5,223.25/7,834.99 = 2,448.40/x
  3. Step 3: Cross multiply
    5,223.25x = 7,834.99 × 2,448.40
  4. Step 4: Simplify right side
    5,223.25x = 19,183,150.34
  5. Step 5: Solve for x
    x = 19,183,150.34/5,223.25
  6. Step 6: Final answer
    x = 3,672.65

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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.