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Finding the Fourth Proportional to 4,273.57, 6,411.13 and 1,311.95

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Solution

The fourth proportional to 4,273.57, 6,411.13 and 1,311.95 is: 1,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.57 : 6,411.13 = 1,311.95 : x
  2. Step 2: Convert to fraction form
    4,273.57/6,411.13 = 1,311.95/x
  3. Step 3: Cross multiply
    4,273.57x = 6,411.13 × 1,311.95
  4. Step 4: Simplify right side
    4,273.57x = 8,411,094.75
  5. Step 5: Solve for x
    x = 8,411,094.75/4,273.57
  6. Step 6: Final answer
    x = 1,968.17

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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.