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Finding the Fourth Proportional to 4,694.17, 6,477.90 and 2,569.68

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Solution

The fourth proportional to 4,694.17, 6,477.90 and 2,569.68 is: 3,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.17 : 6,477.90 = 2,569.68 : x
  2. Step 2: Convert to fraction form
    4,694.17/6,477.90 = 2,569.68/x
  3. Step 3: Cross multiply
    4,694.17x = 6,477.90 × 2,569.68
  4. Step 4: Simplify right side
    4,694.17x = 16,646,120.30
  5. Step 5: Solve for x
    x = 16,646,120.30/4,694.17
  6. Step 6: Final answer
    x = 3,546.12

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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.