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Finding the Fourth Proportional to 4,745.92, 7,119.06 and 1,283.17

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Solution

The fourth proportional to 4,745.92, 7,119.06 and 1,283.17 is: 1,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.92 : 7,119.06 = 1,283.17 : x
  2. Step 2: Convert to fraction form
    4,745.92/7,119.06 = 1,283.17/x
  3. Step 3: Cross multiply
    4,745.92x = 7,119.06 × 1,283.17
  4. Step 4: Simplify right side
    4,745.92x = 9,134,964.22
  5. Step 5: Solve for x
    x = 9,134,964.22/4,745.92
  6. Step 6: Final answer
    x = 1,924.80

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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.