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Finding the Fourth Proportional to 4,768.91, 7,154.47 and 1,481.83

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Solution

The fourth proportional to 4,768.91, 7,154.47 and 1,481.83 is: 2,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.91 : 7,154.47 = 1,481.83 : x
  2. Step 2: Convert to fraction form
    4,768.91/7,154.47 = 1,481.83/x
  3. Step 3: Cross multiply
    4,768.91x = 7,154.47 × 1,481.83
  4. Step 4: Simplify right side
    4,768.91x = 10,601,672.51
  5. Step 5: Solve for x
    x = 10,601,672.51/4,768.91
  6. Step 6: Final answer
    x = 2,223.08

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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.