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Finding the Fourth Proportional to 6,062.64, 8,369.28 and 4,072.38

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Solution

The fourth proportional to 6,062.64, 8,369.28 and 4,072.38 is: 5,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062.64 : 8,369.28 = 4,072.38 : x
  2. Step 2: Convert to fraction form
    6,062.64/8,369.28 = 4,072.38/x
  3. Step 3: Cross multiply
    6,062.64x = 8,369.28 × 4,072.38
  4. Step 4: Simplify right side
    6,062.64x = 34,082,888.49
  5. Step 5: Solve for x
    x = 34,082,888.49/6,062.64
  6. Step 6: Final answer
    x = 5,621.79

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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.