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Finding the Fourth Proportional to 3,137.34, 4,707.17 and 1,287.96

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Solution

The fourth proportional to 3,137.34, 4,707.17 and 1,287.96 is: 1,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.34 : 4,707.17 = 1,287.96 : x
  2. Step 2: Convert to fraction form
    3,137.34/4,707.17 = 1,287.96/x
  3. Step 3: Cross multiply
    3,137.34x = 4,707.17 × 1,287.96
  4. Step 4: Simplify right side
    3,137.34x = 6,062,640.23
  5. Step 5: Solve for x
    x = 6,062,640.23/3,137.34
  6. Step 6: Final answer
    x = 1,932.41

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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.