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Finding the Fourth Proportional to 3,844.66, 5,768.68 and 1,347.64

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Solution

The fourth proportional to 3,844.66, 5,768.68 and 1,347.64 is: 2,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.66 : 5,768.68 = 1,347.64 : x
  2. Step 2: Convert to fraction form
    3,844.66/5,768.68 = 1,347.64/x
  3. Step 3: Cross multiply
    3,844.66x = 5,768.68 × 1,347.64
  4. Step 4: Simplify right side
    3,844.66x = 7,774,122.79
  5. Step 5: Solve for x
    x = 7,774,122.79/3,844.66
  6. Step 6: Final answer
    x = 2,022.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.