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Finding the Fourth Proportional to 5,224.57, 7,835.10 and 2,450.86

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Solution

The fourth proportional to 5,224.57, 7,835.10 and 2,450.86 is: 3,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.57 : 7,835.10 = 2,450.86 : x
  2. Step 2: Convert to fraction form
    5,224.57/7,835.10 = 2,450.86/x
  3. Step 3: Cross multiply
    5,224.57x = 7,835.10 × 2,450.86
  4. Step 4: Simplify right side
    5,224.57x = 19,202,733.19
  5. Step 5: Solve for x
    x = 19,202,733.19/5,224.57
  6. Step 6: Final answer
    x = 3,675.47

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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.