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Finding the Fourth Proportional to 4,822.74, 7,232.66 and 2,049.38

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Solution

The fourth proportional to 4,822.74, 7,232.66 and 2,049.38 is: 3,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.74 : 7,232.66 = 2,049.38 : x
  2. Step 2: Convert to fraction form
    4,822.74/7,232.66 = 2,049.38/x
  3. Step 3: Cross multiply
    4,822.74x = 7,232.66 × 2,049.38
  4. Step 4: Simplify right side
    4,822.74x = 14,822,468.75
  5. Step 5: Solve for x
    x = 14,822,468.75/4,822.74
  6. Step 6: Final answer
    x = 3,073.45

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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.