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Finding the Fourth Proportional to 3,554.67, 4,906.34 and 2,297.15

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Solution

The fourth proportional to 3,554.67, 4,906.34 and 2,297.15 is: 3,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.67 : 4,906.34 = 2,297.15 : x
  2. Step 2: Convert to fraction form
    3,554.67/4,906.34 = 2,297.15/x
  3. Step 3: Cross multiply
    3,554.67x = 4,906.34 × 2,297.15
  4. Step 4: Simplify right side
    3,554.67x = 11,270,598.93
  5. Step 5: Solve for x
    x = 11,270,598.93/3,554.67
  6. Step 6: Final answer
    x = 3,170.65

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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.