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Finding the Fourth Proportional to 3,188.02, 4,399.40 and 1,771.71

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Solution

The fourth proportional to 3,188.02, 4,399.40 and 1,771.71 is: 2,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.02 : 4,399.40 = 1,771.71 : x
  2. Step 2: Convert to fraction form
    3,188.02/4,399.40 = 1,771.71/x
  3. Step 3: Cross multiply
    3,188.02x = 4,399.40 × 1,771.71
  4. Step 4: Simplify right side
    3,188.02x = 7,794,460.97
  5. Step 5: Solve for x
    x = 7,794,460.97/3,188.02
  6. Step 6: Final answer
    x = 2,444.92

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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.