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Finding the Fourth Proportional to 4,211.58, 6,318.17 and 1,289.91

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Solution

The fourth proportional to 4,211.58, 6,318.17 and 1,289.91 is: 1,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.58 : 6,318.17 = 1,289.91 : x
  2. Step 2: Convert to fraction form
    4,211.58/6,318.17 = 1,289.91/x
  3. Step 3: Cross multiply
    4,211.58x = 6,318.17 × 1,289.91
  4. Step 4: Simplify right side
    4,211.58x = 8,149,842.30
  5. Step 5: Solve for x
    x = 8,149,842.30/4,211.58
  6. Step 6: Final answer
    x = 1,935.11

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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.