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Finding the Fourth Proportional to 4,706.31, 7,059.39 and 1,419.27

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Solution

The fourth proportional to 4,706.31, 7,059.39 and 1,419.27 is: 2,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.31 : 7,059.39 = 1,419.27 : x
  2. Step 2: Convert to fraction form
    4,706.31/7,059.39 = 1,419.27/x
  3. Step 3: Cross multiply
    4,706.31x = 7,059.39 × 1,419.27
  4. Step 4: Simplify right side
    4,706.31x = 10,019,180.45
  5. Step 5: Solve for x
    x = 10,019,180.45/4,706.31
  6. Step 6: Final answer
    x = 2,128.88

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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.