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Finding the Fourth Proportional to 4,843.60, 6,685.62 and 2,827.60

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Solution

The fourth proportional to 4,843.60, 6,685.62 and 2,827.60 is: 3,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.60 : 6,685.62 = 2,827.60 : x
  2. Step 2: Convert to fraction form
    4,843.60/6,685.62 = 2,827.60/x
  3. Step 3: Cross multiply
    4,843.60x = 6,685.62 × 2,827.60
  4. Step 4: Simplify right side
    4,843.60x = 18,904,259.11
  5. Step 5: Solve for x
    x = 18,904,259.11/4,843.60
  6. Step 6: Final answer
    x = 3,902.94

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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.