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Finding the Fourth Proportional to 6,143.38, 8,477.87 and 3,490.78

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Solution

The fourth proportional to 6,143.38, 8,477.87 and 3,490.78 is: 4,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.38 : 8,477.87 = 3,490.78 : x
  2. Step 2: Convert to fraction form
    6,143.38/8,477.87 = 3,490.78/x
  3. Step 3: Cross multiply
    6,143.38x = 8,477.87 × 3,490.78
  4. Step 4: Simplify right side
    6,143.38x = 29,594,340.39
  5. Step 5: Solve for x
    x = 29,594,340.39/6,143.38
  6. Step 6: Final answer
    x = 4,817.28

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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.