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Finding the Fourth Proportional to 5,217.92, 7,786.42 and 4,664

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Solution

The fourth proportional to 5,217.92, 7,786.42 and 4,664 is: 6,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.92 : 7,786.42 = 4,664 : x
  2. Step 2: Convert to fraction form
    5,217.92/7,786.42 = 4,664/x
  3. Step 3: Cross multiply
    5,217.92x = 7,786.42 × 4,664
  4. Step 4: Simplify right side
    5,217.92x = 36,315,862.88
  5. Step 5: Solve for x
    x = 36,315,862.88/5,217.92
  6. Step 6: Final answer
    x = 6,959.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.