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Finding the Fourth Proportional to 3,738.09, 5,607.14 and 1,546.23

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Solution

The fourth proportional to 3,738.09, 5,607.14 and 1,546.23 is: 2,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.09 : 5,607.14 = 1,546.23 : x
  2. Step 2: Convert to fraction form
    3,738.09/5,607.14 = 1,546.23/x
  3. Step 3: Cross multiply
    3,738.09x = 5,607.14 × 1,546.23
  4. Step 4: Simplify right side
    3,738.09x = 8,669,920.35
  5. Step 5: Solve for x
    x = 8,669,920.35/3,738.09
  6. Step 6: Final answer
    x = 2,319.35

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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.