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Finding the Fourth Proportional to 4,186.74, 5,785.07 and 3,297.66

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Solution

The fourth proportional to 4,186.74, 5,785.07 and 3,297.66 is: 4,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.74 : 5,785.07 = 3,297.66 : x
  2. Step 2: Convert to fraction form
    4,186.74/5,785.07 = 3,297.66/x
  3. Step 3: Cross multiply
    4,186.74x = 5,785.07 × 3,297.66
  4. Step 4: Simplify right side
    4,186.74x = 19,077,206.84
  5. Step 5: Solve for x
    x = 19,077,206.84/4,186.74
  6. Step 6: Final answer
    x = 4,556.58

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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.