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Finding the Fourth Proportional to 4,537.84, 6,806.78 and 1,616.14

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Solution

The fourth proportional to 4,537.84, 6,806.78 and 1,616.14 is: 2,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.84 : 6,806.78 = 1,616.14 : x
  2. Step 2: Convert to fraction form
    4,537.84/6,806.78 = 1,616.14/x
  3. Step 3: Cross multiply
    4,537.84x = 6,806.78 × 1,616.14
  4. Step 4: Simplify right side
    4,537.84x = 11,000,709.43
  5. Step 5: Solve for x
    x = 11,000,709.43/4,537.84
  6. Step 6: Final answer
    x = 2,424.22

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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.