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Finding the Fourth Proportional to 5,634.96, 7,776.89 and 3,396.71

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Solution

The fourth proportional to 5,634.96, 7,776.89 and 3,396.71 is: 4,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.96 : 7,776.89 = 3,396.71 : x
  2. Step 2: Convert to fraction form
    5,634.96/7,776.89 = 3,396.71/x
  3. Step 3: Cross multiply
    5,634.96x = 7,776.89 × 3,396.71
  4. Step 4: Simplify right side
    5,634.96x = 26,415,784.16
  5. Step 5: Solve for x
    x = 26,415,784.16/5,634.96
  6. Step 6: Final answer
    x = 4,687.84

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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.