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Finding the Fourth Proportional to 3,693.64, 5,101.62 and 2,697.32

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Solution

The fourth proportional to 3,693.64, 5,101.62 and 2,697.32 is: 3,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.64 : 5,101.62 = 2,697.32 : x
  2. Step 2: Convert to fraction form
    3,693.64/5,101.62 = 2,697.32/x
  3. Step 3: Cross multiply
    3,693.64x = 5,101.62 × 2,697.32
  4. Step 4: Simplify right side
    3,693.64x = 13,760,701.66
  5. Step 5: Solve for x
    x = 13,760,701.66/3,693.64
  6. Step 6: Final answer
    x = 3,725.51

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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.