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Finding the Fourth Proportional to 4,224, 6,338.56 and 1,792

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Solution

The fourth proportional to 4,224, 6,338.56 and 1,792 is: 2,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224 : 6,338.56 = 1,792 : x
  2. Step 2: Convert to fraction form
    4,224/6,338.56 = 1,792/x
  3. Step 3: Cross multiply
    4,224x = 6,338.56 × 1,792
  4. Step 4: Simplify right side
    4,224x = 11,358,699.52
  5. Step 5: Solve for x
    x = 11,358,699.52/4,224
  6. Step 6: Final answer
    x = 2,689.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.