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Finding the Fourth Proportional to 3,693.93, 5,098.05 and 2,101.06

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Solution

The fourth proportional to 3,693.93, 5,098.05 and 2,101.06 is: 2,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.93 : 5,098.05 = 2,101.06 : x
  2. Step 2: Convert to fraction form
    3,693.93/5,098.05 = 2,101.06/x
  3. Step 3: Cross multiply
    3,693.93x = 5,098.05 × 2,101.06
  4. Step 4: Simplify right side
    3,693.93x = 10,711,308.93
  5. Step 5: Solve for x
    x = 10,711,308.93/3,693.93
  6. Step 6: Final answer
    x = 2,899.71

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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.