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Finding the Fourth Proportional to 4,874.37, 6,668.98 and 4,853.71

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Solution

The fourth proportional to 4,874.37, 6,668.98 and 4,853.71 is: 6,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.37 : 6,668.98 = 4,853.71 : x
  2. Step 2: Convert to fraction form
    4,874.37/6,668.98 = 4,853.71/x
  3. Step 3: Cross multiply
    4,874.37x = 6,668.98 × 4,853.71
  4. Step 4: Simplify right side
    4,874.37x = 32,369,294.92
  5. Step 5: Solve for x
    x = 32,369,294.92/4,874.37
  6. Step 6: Final answer
    x = 6,640.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.