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Finding the Fourth Proportional to 5,371.57, 7,416.73 and 4,737.34

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Solution

The fourth proportional to 5,371.57, 7,416.73 and 4,737.34 is: 6,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.57 : 7,416.73 = 4,737.34 : x
  2. Step 2: Convert to fraction form
    5,371.57/7,416.73 = 4,737.34/x
  3. Step 3: Cross multiply
    5,371.57x = 7,416.73 × 4,737.34
  4. Step 4: Simplify right side
    5,371.57x = 35,135,571.70
  5. Step 5: Solve for x
    x = 35,135,571.70/5,371.57
  6. Step 6: Final answer
    x = 6,541.02

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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.