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Finding the Fourth Proportional to 4,843.91, 6,686.62 and 4,101.71

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Solution

The fourth proportional to 4,843.91, 6,686.62 and 4,101.71 is: 5,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.91 : 6,686.62 = 4,101.71 : x
  2. Step 2: Convert to fraction form
    4,843.91/6,686.62 = 4,101.71/x
  3. Step 3: Cross multiply
    4,843.91x = 6,686.62 × 4,101.71
  4. Step 4: Simplify right side
    4,843.91x = 27,426,532.43
  5. Step 5: Solve for x
    x = 27,426,532.43/4,843.91
  6. Step 6: Final answer
    x = 5,662.07

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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.