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Finding the Fourth Proportional to 3,447.98, 5,171.98 and 1,256.71

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Solution

The fourth proportional to 3,447.98, 5,171.98 and 1,256.71 is: 1,885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.98 : 5,171.98 = 1,256.71 : x
  2. Step 2: Convert to fraction form
    3,447.98/5,171.98 = 1,256.71/x
  3. Step 3: Cross multiply
    3,447.98x = 5,171.98 × 1,256.71
  4. Step 4: Simplify right side
    3,447.98x = 6,499,653.13
  5. Step 5: Solve for x
    x = 6,499,653.13/3,447.98
  6. Step 6: Final answer
    x = 1,885.06

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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.