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Finding the Fourth Proportional to 5,356.62, 7,392.33 and 3,232.80

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Solution

The fourth proportional to 5,356.62, 7,392.33 and 3,232.80 is: 4,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.62 : 7,392.33 = 3,232.80 : x
  2. Step 2: Convert to fraction form
    5,356.62/7,392.33 = 3,232.80/x
  3. Step 3: Cross multiply
    5,356.62x = 7,392.33 × 3,232.80
  4. Step 4: Simplify right side
    5,356.62x = 23,897,924.42
  5. Step 5: Solve for x
    x = 23,897,924.42/5,356.62
  6. Step 6: Final answer
    x = 4,461.38

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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.