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Finding the Fourth Proportional to 4,706.02, 7,046.70 and 3,311.81

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Solution

The fourth proportional to 4,706.02, 7,046.70 and 3,311.81 is: 4,959.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.02 : 7,046.70 = 3,311.81 : x
  2. Step 2: Convert to fraction form
    4,706.02/7,046.70 = 3,311.81/x
  3. Step 3: Cross multiply
    4,706.02x = 7,046.70 × 3,311.81
  4. Step 4: Simplify right side
    4,706.02x = 23,337,331.53
  5. Step 5: Solve for x
    x = 23,337,331.53/4,706.02
  6. Step 6: Final answer
    x = 4,959.04

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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.