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Finding the Fourth Proportional to 4,684.51, 6,463.72 and 2,694.57

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Solution

The fourth proportional to 4,684.51, 6,463.72 and 2,694.57 is: 3,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.51 : 6,463.72 = 2,694.57 : x
  2. Step 2: Convert to fraction form
    4,684.51/6,463.72 = 2,694.57/x
  3. Step 3: Cross multiply
    4,684.51x = 6,463.72 × 2,694.57
  4. Step 4: Simplify right side
    4,684.51x = 17,416,932.71
  5. Step 5: Solve for x
    x = 17,416,932.71/4,684.51
  6. Step 6: Final answer
    x = 3,717.99

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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.