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Finding the Fourth Proportional to 4,286.59, 6,429.81 and 2,313.13

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Solution

The fourth proportional to 4,286.59, 6,429.81 and 2,313.13 is: 3,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.59 : 6,429.81 = 2,313.13 : x
  2. Step 2: Convert to fraction form
    4,286.59/6,429.81 = 2,313.13/x
  3. Step 3: Cross multiply
    4,286.59x = 6,429.81 × 2,313.13
  4. Step 4: Simplify right side
    4,286.59x = 14,872,986.41
  5. Step 5: Solve for x
    x = 14,872,986.41/4,286.59
  6. Step 6: Final answer
    x = 3,469.65

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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.