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Finding the Fourth Proportional to 3,739.50, 5,607.81 and 1,546.74

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Solution

The fourth proportional to 3,739.50, 5,607.81 and 1,546.74 is: 2,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.50 : 5,607.81 = 1,546.74 : x
  2. Step 2: Convert to fraction form
    3,739.50/5,607.81 = 1,546.74/x
  3. Step 3: Cross multiply
    3,739.50x = 5,607.81 × 1,546.74
  4. Step 4: Simplify right side
    3,739.50x = 8,673,824.04
  5. Step 5: Solve for x
    x = 8,673,824.04/3,739.50
  6. Step 6: Final answer
    x = 2,319.51

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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.