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Finding the Fourth Proportional to 3,811.34, 5,717.55 and 1,731.32

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Solution

The fourth proportional to 3,811.34, 5,717.55 and 1,731.32 is: 2,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.34 : 5,717.55 = 1,731.32 : x
  2. Step 2: Convert to fraction form
    3,811.34/5,717.55 = 1,731.32/x
  3. Step 3: Cross multiply
    3,811.34x = 5,717.55 × 1,731.32
  4. Step 4: Simplify right side
    3,811.34x = 9,898,908.67
  5. Step 5: Solve for x
    x = 9,898,908.67/3,811.34
  6. Step 6: Final answer
    x = 2,597.23

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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.