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Finding the Fourth Proportional to 5,721.84, 7,906.02 and 4,725.41

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Solution

The fourth proportional to 5,721.84, 7,906.02 and 4,725.41 is: 6,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.84 : 7,906.02 = 4,725.41 : x
  2. Step 2: Convert to fraction form
    5,721.84/7,906.02 = 4,725.41/x
  3. Step 3: Cross multiply
    5,721.84x = 7,906.02 × 4,725.41
  4. Step 4: Simplify right side
    5,721.84x = 37,359,158.37
  5. Step 5: Solve for x
    x = 37,359,158.37/5,721.84
  6. Step 6: Final answer
    x = 6,529.22

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Why These Related Problems?

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