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Finding the Fourth Proportional to 6,072.64, 8,377.77 and 3,834.48

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Solution

The fourth proportional to 6,072.64, 8,377.77 and 3,834.48 is: 5,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.64 : 8,377.77 = 3,834.48 : x
  2. Step 2: Convert to fraction form
    6,072.64/8,377.77 = 3,834.48/x
  3. Step 3: Cross multiply
    6,072.64x = 8,377.77 × 3,834.48
  4. Step 4: Simplify right side
    6,072.64x = 32,124,391.51
  5. Step 5: Solve for x
    x = 32,124,391.51/6,072.64
  6. Step 6: Final answer
    x = 5,290.02

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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.