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Finding the Fourth Proportional to 4,684.49, 6,464.41 and 2,693.69

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Solution

The fourth proportional to 4,684.49, 6,464.41 and 2,693.69 is: 3,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.49 : 6,464.41 = 2,693.69 : x
  2. Step 2: Convert to fraction form
    4,684.49/6,464.41 = 2,693.69/x
  3. Step 3: Cross multiply
    4,684.49x = 6,464.41 × 2,693.69
  4. Step 4: Simplify right side
    4,684.49x = 17,413,116.57
  5. Step 5: Solve for x
    x = 17,413,116.57/4,684.49
  6. Step 6: Final answer
    x = 3,717.19

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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.