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Finding the Fourth Proportional to 6,401.54, 8,838.16 and 4,906.64

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Solution

The fourth proportional to 6,401.54, 8,838.16 and 4,906.64 is: 6,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.54 : 8,838.16 = 4,906.64 : x
  2. Step 2: Convert to fraction form
    6,401.54/8,838.16 = 4,906.64/x
  3. Step 3: Cross multiply
    6,401.54x = 8,838.16 × 4,906.64
  4. Step 4: Simplify right side
    6,401.54x = 43,365,669.38
  5. Step 5: Solve for x
    x = 43,365,669.38/6,401.54
  6. Step 6: Final answer
    x = 6,774.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.