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Finding the Fourth Proportional to 6,076.76, 8,382.12 and 3,714.80

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Solution

The fourth proportional to 6,076.76, 8,382.12 and 3,714.80 is: 5,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.76 : 8,382.12 = 3,714.80 : x
  2. Step 2: Convert to fraction form
    6,076.76/8,382.12 = 3,714.80/x
  3. Step 3: Cross multiply
    6,076.76x = 8,382.12 × 3,714.80
  4. Step 4: Simplify right side
    6,076.76x = 31,137,899.38
  5. Step 5: Solve for x
    x = 31,137,899.38/6,076.76
  6. Step 6: Final answer
    x = 5,124.10

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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.