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Finding the Fourth Proportional to 3,697.74, 5,546.55 and 1,751.34

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Solution

The fourth proportional to 3,697.74, 5,546.55 and 1,751.34 is: 2,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.74 : 5,546.55 = 1,751.34 : x
  2. Step 2: Convert to fraction form
    3,697.74/5,546.55 = 1,751.34/x
  3. Step 3: Cross multiply
    3,697.74x = 5,546.55 × 1,751.34
  4. Step 4: Simplify right side
    3,697.74x = 9,713,894.88
  5. Step 5: Solve for x
    x = 9,713,894.88/3,697.74
  6. Step 6: Final answer
    x = 2,626.98

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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.