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Finding the Fourth Proportional to 4,706.12, 7,059.18 and 1,628.12

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Solution

The fourth proportional to 4,706.12, 7,059.18 and 1,628.12 is: 2,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.12 : 7,059.18 = 1,628.12 : x
  2. Step 2: Convert to fraction form
    4,706.12/7,059.18 = 1,628.12/x
  3. Step 3: Cross multiply
    4,706.12x = 7,059.18 × 1,628.12
  4. Step 4: Simplify right side
    4,706.12x = 11,493,192.14
  5. Step 5: Solve for x
    x = 11,493,192.14/4,706.12
  6. Step 6: Final answer
    x = 2,442.18

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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.