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Finding the Fourth Proportional to 4,706.20, 7,059.30 and 4,633.30

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Solution

The fourth proportional to 4,706.20, 7,059.30 and 4,633.30 is: 6,949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.20 : 7,059.30 = 4,633.30 : x
  2. Step 2: Convert to fraction form
    4,706.20/7,059.30 = 4,633.30/x
  3. Step 3: Cross multiply
    4,706.20x = 7,059.30 × 4,633.30
  4. Step 4: Simplify right side
    4,706.20x = 32,707,854.69
  5. Step 5: Solve for x
    x = 32,707,854.69/4,706.20
  6. Step 6: Final answer
    x = 6,949.95

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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.