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Finding the Fourth Proportional to 4,822.52, 7,233.47 and 1,537.97

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Solution

The fourth proportional to 4,822.52, 7,233.47 and 1,537.97 is: 2,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.52 : 7,233.47 = 1,537.97 : x
  2. Step 2: Convert to fraction form
    4,822.52/7,233.47 = 1,537.97/x
  3. Step 3: Cross multiply
    4,822.52x = 7,233.47 × 1,537.97
  4. Step 4: Simplify right side
    4,822.52x = 11,124,816.00
  5. Step 5: Solve for x
    x = 11,124,816.00/4,822.52
  6. Step 6: Final answer
    x = 2,306.85

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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.