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Finding the Fourth Proportional to 5,034.85, 6,977.53 and 4,964.38

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Solution

The fourth proportional to 5,034.85, 6,977.53 and 4,964.38 is: 6,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.85 : 6,977.53 = 4,964.38 : x
  2. Step 2: Convert to fraction form
    5,034.85/6,977.53 = 4,964.38/x
  3. Step 3: Cross multiply
    5,034.85x = 6,977.53 × 4,964.38
  4. Step 4: Simplify right side
    5,034.85x = 34,639,110.38
  5. Step 5: Solve for x
    x = 34,639,110.38/5,034.85
  6. Step 6: Final answer
    x = 6,879.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.