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Finding the Fourth Proportional to 4,773.92, 7,161.78 and 1,653.80

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Solution

The fourth proportional to 4,773.92, 7,161.78 and 1,653.80 is: 2,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.92 : 7,161.78 = 1,653.80 : x
  2. Step 2: Convert to fraction form
    4,773.92/7,161.78 = 1,653.80/x
  3. Step 3: Cross multiply
    4,773.92x = 7,161.78 × 1,653.80
  4. Step 4: Simplify right side
    4,773.92x = 11,844,151.76
  5. Step 5: Solve for x
    x = 11,844,151.76/4,773.92
  6. Step 6: Final answer
    x = 2,481.01

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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.