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Finding the Fourth Proportional to 5,222.77, 7,835.17 and 1,525.01

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Solution

The fourth proportional to 5,222.77, 7,835.17 and 1,525.01 is: 2,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.77 : 7,835.17 = 1,525.01 : x
  2. Step 2: Convert to fraction form
    5,222.77/7,835.17 = 1,525.01/x
  3. Step 3: Cross multiply
    5,222.77x = 7,835.17 × 1,525.01
  4. Step 4: Simplify right side
    5,222.77x = 11,948,728.38
  5. Step 5: Solve for x
    x = 11,948,728.38/5,222.77
  6. Step 6: Final answer
    x = 2,287.82

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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.