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Finding the Fourth Proportional to 4,206.97, 5,805.71 and 2,318.68

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Solution

The fourth proportional to 4,206.97, 5,805.71 and 2,318.68 is: 3,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.97 : 5,805.71 = 2,318.68 : x
  2. Step 2: Convert to fraction form
    4,206.97/5,805.71 = 2,318.68/x
  3. Step 3: Cross multiply
    4,206.97x = 5,805.71 × 2,318.68
  4. Step 4: Simplify right side
    4,206.97x = 13,461,583.66
  5. Step 5: Solve for x
    x = 13,461,583.66/4,206.97
  6. Step 6: Final answer
    x = 3,199.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.