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Finding the Fourth Proportional to 4,605.28, 6,908.41 and 1,684.22

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Solution

The fourth proportional to 4,605.28, 6,908.41 and 1,684.22 is: 2,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.28 : 6,908.41 = 1,684.22 : x
  2. Step 2: Convert to fraction form
    4,605.28/6,908.41 = 1,684.22/x
  3. Step 3: Cross multiply
    4,605.28x = 6,908.41 × 1,684.22
  4. Step 4: Simplify right side
    4,605.28x = 11,635,282.29
  5. Step 5: Solve for x
    x = 11,635,282.29/4,605.28
  6. Step 6: Final answer
    x = 2,526.51

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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.