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Finding the Fourth Proportional to 6,200.46, 8,557.20 and 4,076.10

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Solution

The fourth proportional to 6,200.46, 8,557.20 and 4,076.10 is: 5,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.46 : 8,557.20 = 4,076.10 : x
  2. Step 2: Convert to fraction form
    6,200.46/8,557.20 = 4,076.10/x
  3. Step 3: Cross multiply
    6,200.46x = 8,557.20 × 4,076.10
  4. Step 4: Simplify right side
    6,200.46x = 34,880,002.92
  5. Step 5: Solve for x
    x = 34,880,002.92/6,200.46
  6. Step 6: Final answer
    x = 5,625.39

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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.