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Finding the Fourth Proportional to 4,965.24, 7,442.10 and 4,389.24

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Solution

The fourth proportional to 4,965.24, 7,442.10 and 4,389.24 is: 6,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.24 : 7,442.10 = 4,389.24 : x
  2. Step 2: Convert to fraction form
    4,965.24/7,442.10 = 4,389.24/x
  3. Step 3: Cross multiply
    4,965.24x = 7,442.10 × 4,389.24
  4. Step 4: Simplify right side
    4,965.24x = 32,665,163.00
  5. Step 5: Solve for x
    x = 32,665,163.00/4,965.24
  6. Step 6: Final answer
    x = 6,578.77

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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.