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Finding the Fourth Proportional to 3,705.40, 5,101.70 and 3,144.68

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Solution

The fourth proportional to 3,705.40, 5,101.70 and 3,144.68 is: 4,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.40 : 5,101.70 = 3,144.68 : x
  2. Step 2: Convert to fraction form
    3,705.40/5,101.70 = 3,144.68/x
  3. Step 3: Cross multiply
    3,705.40x = 5,101.70 × 3,144.68
  4. Step 4: Simplify right side
    3,705.40x = 16,043,213.96
  5. Step 5: Solve for x
    x = 16,043,213.96/3,705.40
  6. Step 6: Final answer
    x = 4,329.68

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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.