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Finding the Fourth Proportional to 4,207.91, 6,311.63 and 1,285.99

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Solution

The fourth proportional to 4,207.91, 6,311.63 and 1,285.99 is: 1,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.91 : 6,311.63 = 1,285.99 : x
  2. Step 2: Convert to fraction form
    4,207.91/6,311.63 = 1,285.99/x
  3. Step 3: Cross multiply
    4,207.91x = 6,311.63 × 1,285.99
  4. Step 4: Simplify right side
    4,207.91x = 8,116,693.06
  5. Step 5: Solve for x
    x = 8,116,693.06/4,207.91
  6. Step 6: Final answer
    x = 1,928.91

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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.