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Finding the Fourth Proportional to 4,706.69, 7,059.96 and 1,148.85

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Solution

The fourth proportional to 4,706.69, 7,059.96 and 1,148.85 is: 1,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.69 : 7,059.96 = 1,148.85 : x
  2. Step 2: Convert to fraction form
    4,706.69/7,059.96 = 1,148.85/x
  3. Step 3: Cross multiply
    4,706.69x = 7,059.96 × 1,148.85
  4. Step 4: Simplify right side
    4,706.69x = 8,110,835.05
  5. Step 5: Solve for x
    x = 8,110,835.05/4,706.69
  6. Step 6: Final answer
    x = 1,723.26

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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.