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Finding the Fourth Proportional to 4,155.31, 6,224.39 and 3,504

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Solution

The fourth proportional to 4,155.31, 6,224.39 and 3,504 is: 5,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.31 : 6,224.39 = 3,504 : x
  2. Step 2: Convert to fraction form
    4,155.31/6,224.39 = 3,504/x
  3. Step 3: Cross multiply
    4,155.31x = 6,224.39 × 3,504
  4. Step 4: Simplify right side
    4,155.31x = 21,810,262.56
  5. Step 5: Solve for x
    x = 21,810,262.56/4,155.31
  6. Step 6: Final answer
    x = 5,248.77

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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.