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Finding the Fourth Proportional to 3,693.64, 5,097.53 and 2,100.79

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Solution

The fourth proportional to 3,693.64, 5,097.53 and 2,100.79 is: 2,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.64 : 5,097.53 = 2,100.79 : x
  2. Step 2: Convert to fraction form
    3,693.64/5,097.53 = 2,100.79/x
  3. Step 3: Cross multiply
    3,693.64x = 5,097.53 × 2,100.79
  4. Step 4: Simplify right side
    3,693.64x = 10,708,816.80
  5. Step 5: Solve for x
    x = 10,708,816.80/3,693.64
  6. Step 6: Final answer
    x = 2,899.26

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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.