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Finding the Fourth Proportional to 6,232.11, 8,599.82 and 3,579.00

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Solution

The fourth proportional to 6,232.11, 8,599.82 and 3,579.00 is: 4,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.11 : 8,599.82 = 3,579.00 : x
  2. Step 2: Convert to fraction form
    6,232.11/8,599.82 = 3,579.00/x
  3. Step 3: Cross multiply
    6,232.11x = 8,599.82 × 3,579.00
  4. Step 4: Simplify right side
    6,232.11x = 30,778,774.14
  5. Step 5: Solve for x
    x = 30,778,774.14/6,232.11
  6. Step 6: Final answer
    x = 4,938.74

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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.