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Finding the Fourth Proportional to 4,098.01, 5,654.46 and 2,837.02

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Solution

The fourth proportional to 4,098.01, 5,654.46 and 2,837.02 is: 3,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.01 : 5,654.46 = 2,837.02 : x
  2. Step 2: Convert to fraction form
    4,098.01/5,654.46 = 2,837.02/x
  3. Step 3: Cross multiply
    4,098.01x = 5,654.46 × 2,837.02
  4. Step 4: Simplify right side
    4,098.01x = 16,041,816.11
  5. Step 5: Solve for x
    x = 16,041,816.11/4,098.01
  6. Step 6: Final answer
    x = 3,914.54

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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.