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Finding the Fourth Proportional to 3,486.67, 5,218.63 and 2,561.99

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Solution

The fourth proportional to 3,486.67, 5,218.63 and 2,561.99 is: 3,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.67 : 5,218.63 = 2,561.99 : x
  2. Step 2: Convert to fraction form
    3,486.67/5,218.63 = 2,561.99/x
  3. Step 3: Cross multiply
    3,486.67x = 5,218.63 × 2,561.99
  4. Step 4: Simplify right side
    3,486.67x = 13,370,045.38
  5. Step 5: Solve for x
    x = 13,370,045.38/3,486.67
  6. Step 6: Final answer
    x = 3,834.62

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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.