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Finding the Fourth Proportional to 4,289.46, 6,434.13 and 1,211.46

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Solution

The fourth proportional to 4,289.46, 6,434.13 and 1,211.46 is: 1,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.46 : 6,434.13 = 1,211.46 : x
  2. Step 2: Convert to fraction form
    4,289.46/6,434.13 = 1,211.46/x
  3. Step 3: Cross multiply
    4,289.46x = 6,434.13 × 1,211.46
  4. Step 4: Simplify right side
    4,289.46x = 7,794,691.13
  5. Step 5: Solve for x
    x = 7,794,691.13/4,289.46
  6. Step 6: Final answer
    x = 1,817.17

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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.