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Finding the Fourth Proportional to 4,206.59, 6,299.49 and 3,135.45

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Solution

The fourth proportional to 4,206.59, 6,299.49 and 3,135.45 is: 4,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.59 : 6,299.49 = 3,135.45 : x
  2. Step 2: Convert to fraction form
    4,206.59/6,299.49 = 3,135.45/x
  3. Step 3: Cross multiply
    4,206.59x = 6,299.49 × 3,135.45
  4. Step 4: Simplify right side
    4,206.59x = 19,751,735.92
  5. Step 5: Solve for x
    x = 19,751,735.92/4,206.59
  6. Step 6: Final answer
    x = 4,695.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.