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Finding the Fourth Proportional to 4,943.96, 7,424.42 and 4,389.92

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Solution

The fourth proportional to 4,943.96, 7,424.42 and 4,389.92 is: 6,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.96 : 7,424.42 = 4,389.92 : x
  2. Step 2: Convert to fraction form
    4,943.96/7,424.42 = 4,389.92/x
  3. Step 3: Cross multiply
    4,943.96x = 7,424.42 × 4,389.92
  4. Step 4: Simplify right side
    4,943.96x = 32,592,609.85
  5. Step 5: Solve for x
    x = 32,592,609.85/4,943.96
  6. Step 6: Final answer
    x = 6,592.41

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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.