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Finding the Fourth Proportional to 3,694.32, 5,541.51 and 1,097.26

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Solution

The fourth proportional to 3,694.32, 5,541.51 and 1,097.26 is: 1,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.32 : 5,541.51 = 1,097.26 : x
  2. Step 2: Convert to fraction form
    3,694.32/5,541.51 = 1,097.26/x
  3. Step 3: Cross multiply
    3,694.32x = 5,541.51 × 1,097.26
  4. Step 4: Simplify right side
    3,694.32x = 6,080,477.26
  5. Step 5: Solve for x
    x = 6,080,477.26/3,694.32
  6. Step 6: Final answer
    x = 1,645.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.