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Finding the Fourth Proportional to 5,771.16, 8,664.18 and 4,954.68

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Solution

The fourth proportional to 5,771.16, 8,664.18 and 4,954.68 is: 7,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.16 : 8,664.18 = 4,954.68 : x
  2. Step 2: Convert to fraction form
    5,771.16/8,664.18 = 4,954.68/x
  3. Step 3: Cross multiply
    5,771.16x = 8,664.18 × 4,954.68
  4. Step 4: Simplify right side
    5,771.16x = 42,928,239.36
  5. Step 5: Solve for x
    x = 42,928,239.36/5,771.16
  6. Step 6: Final answer
    x = 7,438.41

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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.