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Finding the Fourth Proportional to 4,383.18, 6,052.73 and 4,077

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Solution

The fourth proportional to 4,383.18, 6,052.73 and 4,077 is: 5,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,383.18 : 6,052.73 = 4,077 : x
  2. Step 2: Convert to fraction form
    4,383.18/6,052.73 = 4,077/x
  3. Step 3: Cross multiply
    4,383.18x = 6,052.73 × 4,077
  4. Step 4: Simplify right side
    4,383.18x = 24,676,959.83
  5. Step 5: Solve for x
    x = 24,676,959.83/4,383.18
  6. Step 6: Final answer
    x = 5,629.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.