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Finding the Fourth Proportional to 4,084.76, 6,127.05 and 1,311.32

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Solution

The fourth proportional to 4,084.76, 6,127.05 and 1,311.32 is: 1,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.76 : 6,127.05 = 1,311.32 : x
  2. Step 2: Convert to fraction form
    4,084.76/6,127.05 = 1,311.32/x
  3. Step 3: Cross multiply
    4,084.76x = 6,127.05 × 1,311.32
  4. Step 4: Simplify right side
    4,084.76x = 8,034,523.21
  5. Step 5: Solve for x
    x = 8,034,523.21/4,084.76
  6. Step 6: Final answer
    x = 1,966.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.