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Finding the Fourth Proportional to 3,439, 4,746 and 2,022.76

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Solution

The fourth proportional to 3,439, 4,746 and 2,022.76 is: 2,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439 : 4,746 = 2,022.76 : x
  2. Step 2: Convert to fraction form
    3,439/4,746 = 2,022.76/x
  3. Step 3: Cross multiply
    3,439x = 4,746 × 2,022.76
  4. Step 4: Simplify right side
    3,439x = 9,600,018.96
  5. Step 5: Solve for x
    x = 9,600,018.96/3,439
  6. Step 6: Final answer
    x = 2,791.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.