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Finding the Fourth Proportional to 5,223.02, 7,832.94 and 1,525.52

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Solution

The fourth proportional to 5,223.02, 7,832.94 and 1,525.52 is: 2,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.02 : 7,832.94 = 1,525.52 : x
  2. Step 2: Convert to fraction form
    5,223.02/7,832.94 = 1,525.52/x
  3. Step 3: Cross multiply
    5,223.02x = 7,832.94 × 1,525.52
  4. Step 4: Simplify right side
    5,223.02x = 11,949,306.63
  5. Step 5: Solve for x
    x = 11,949,306.63/5,223.02
  6. Step 6: Final answer
    x = 2,287.82

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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.