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Finding the Fourth Proportional to 6,231, 8,598.78 and 3,436.68

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Solution

The fourth proportional to 6,231, 8,598.78 and 3,436.68 is: 4,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231 : 8,598.78 = 3,436.68 : x
  2. Step 2: Convert to fraction form
    6,231/8,598.78 = 3,436.68/x
  3. Step 3: Cross multiply
    6,231x = 8,598.78 × 3,436.68
  4. Step 4: Simplify right side
    6,231x = 29,551,255.25
  5. Step 5: Solve for x
    x = 29,551,255.25/6,231
  6. Step 6: Final answer
    x = 4,742.62

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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.