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Finding the Fourth Proportional to 3,697.32, 5,547.60 and 2,158.32

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Solution

The fourth proportional to 3,697.32, 5,547.60 and 2,158.32 is: 3,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.32 : 5,547.60 = 2,158.32 : x
  2. Step 2: Convert to fraction form
    3,697.32/5,547.60 = 2,158.32/x
  3. Step 3: Cross multiply
    3,697.32x = 5,547.60 × 2,158.32
  4. Step 4: Simplify right side
    3,697.32x = 11,973,496.03
  5. Step 5: Solve for x
    x = 11,973,496.03/3,697.32
  6. Step 6: Final answer
    x = 3,238.43

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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.