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Finding the Fourth Proportional to 6,072.95, 8,380.14 and 3,714.62

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Solution

The fourth proportional to 6,072.95, 8,380.14 and 3,714.62 is: 5,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.95 : 8,380.14 = 3,714.62 : x
  2. Step 2: Convert to fraction form
    6,072.95/8,380.14 = 3,714.62/x
  3. Step 3: Cross multiply
    6,072.95x = 8,380.14 × 3,714.62
  4. Step 4: Simplify right side
    6,072.95x = 31,129,035.65
  5. Step 5: Solve for x
    x = 31,129,035.65/6,072.95
  6. Step 6: Final answer
    x = 5,125.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.