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Finding the Fourth Proportional to 5,477.41, 8,223 and 4,564.14

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Solution

The fourth proportional to 5,477.41, 8,223 and 4,564.14 is: 6,851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.41 : 8,223 = 4,564.14 : x
  2. Step 2: Convert to fraction form
    5,477.41/8,223 = 4,564.14/x
  3. Step 3: Cross multiply
    5,477.41x = 8,223 × 4,564.14
  4. Step 4: Simplify right side
    5,477.41x = 37,530,923.22
  5. Step 5: Solve for x
    x = 37,530,923.22/5,477.41
  6. Step 6: Final answer
    x = 6,851.95

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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.