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Finding the Fourth Proportional to 4,323.26, 6,487.41 and 1,824.29

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Solution

The fourth proportional to 4,323.26, 6,487.41 and 1,824.29 is: 2,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.26 : 6,487.41 = 1,824.29 : x
  2. Step 2: Convert to fraction form
    4,323.26/6,487.41 = 1,824.29/x
  3. Step 3: Cross multiply
    4,323.26x = 6,487.41 × 1,824.29
  4. Step 4: Simplify right side
    4,323.26x = 11,834,917.19
  5. Step 5: Solve for x
    x = 11,834,917.19/4,323.26
  6. Step 6: Final answer
    x = 2,737.50

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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.