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Finding the Fourth Proportional to 3,161.64, 4,744.62 and 3,137.34

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Solution

The fourth proportional to 3,161.64, 4,744.62 and 3,137.34 is: 4,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.64 : 4,744.62 = 3,137.34 : x
  2. Step 2: Convert to fraction form
    3,161.64/4,744.62 = 3,137.34/x
  3. Step 3: Cross multiply
    3,161.64x = 4,744.62 × 3,137.34
  4. Step 4: Simplify right side
    3,161.64x = 14,885,486.11
  5. Step 5: Solve for x
    x = 14,885,486.11/3,161.64
  6. Step 6: Final answer
    x = 4,708.15

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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.