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Finding the Fourth Proportional to 3,695.64, 5,541.30 and 2,233.92

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Solution

The fourth proportional to 3,695.64, 5,541.30 and 2,233.92 is: 3,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.64 : 5,541.30 = 2,233.92 : x
  2. Step 2: Convert to fraction form
    3,695.64/5,541.30 = 2,233.92/x
  3. Step 3: Cross multiply
    3,695.64x = 5,541.30 × 2,233.92
  4. Step 4: Simplify right side
    3,695.64x = 12,378,820.90
  5. Step 5: Solve for x
    x = 12,378,820.90/3,695.64
  6. Step 6: Final answer
    x = 3,349.57

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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.