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Finding the Fourth Proportional to 5,222.80, 7,834.70 and 1,525.06

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Solution

The fourth proportional to 5,222.80, 7,834.70 and 1,525.06 is: 2,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.80 : 7,834.70 = 1,525.06 : x
  2. Step 2: Convert to fraction form
    5,222.80/7,834.70 = 1,525.06/x
  3. Step 3: Cross multiply
    5,222.80x = 7,834.70 × 1,525.06
  4. Step 4: Simplify right side
    5,222.80x = 11,948,360.37
  5. Step 5: Solve for x
    x = 11,948,360.37/5,222.80
  6. Step 6: Final answer
    x = 2,287.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.