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Finding the Fourth Proportional to 6,143.39, 8,477.87 and 3,490.80

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Solution

The fourth proportional to 6,143.39, 8,477.87 and 3,490.80 is: 4,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.39 : 8,477.87 = 3,490.80 : x
  2. Step 2: Convert to fraction form
    6,143.39/8,477.87 = 3,490.80/x
  3. Step 3: Cross multiply
    6,143.39x = 8,477.87 × 3,490.80
  4. Step 4: Simplify right side
    6,143.39x = 29,594,557.32
  5. Step 5: Solve for x
    x = 29,594,557.32/6,143.39
  6. Step 6: Final answer
    x = 4,817.30

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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.