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Finding the Fourth Proportional to 4,843.79, 6,682.71 and 3,166.16

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Solution

The fourth proportional to 4,843.79, 6,682.71 and 3,166.16 is: 4,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.79 : 6,682.71 = 3,166.16 : x
  2. Step 2: Convert to fraction form
    4,843.79/6,682.71 = 3,166.16/x
  3. Step 3: Cross multiply
    4,843.79x = 6,682.71 × 3,166.16
  4. Step 4: Simplify right side
    4,843.79x = 21,158,513.26
  5. Step 5: Solve for x
    x = 21,158,513.26/4,843.79
  6. Step 6: Final answer
    x = 4,368.18

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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.