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Finding the Fourth Proportional to 4,758.73, 7,138.76 and 1,472.08

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Solution

The fourth proportional to 4,758.73, 7,138.76 and 1,472.08 is: 2,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.73 : 7,138.76 = 1,472.08 : x
  2. Step 2: Convert to fraction form
    4,758.73/7,138.76 = 1,472.08/x
  3. Step 3: Cross multiply
    4,758.73x = 7,138.76 × 1,472.08
  4. Step 4: Simplify right side
    4,758.73x = 10,508,825.82
  5. Step 5: Solve for x
    x = 10,508,825.82/4,758.73
  6. Step 6: Final answer
    x = 2,208.33

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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.