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Finding the Fourth Proportional to 4,793.26, 7,189.90 and 1,506.64

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Solution

The fourth proportional to 4,793.26, 7,189.90 and 1,506.64 is: 2,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.26 : 7,189.90 = 1,506.64 : x
  2. Step 2: Convert to fraction form
    4,793.26/7,189.90 = 1,506.64/x
  3. Step 3: Cross multiply
    4,793.26x = 7,189.90 × 1,506.64
  4. Step 4: Simplify right side
    4,793.26x = 10,832,583.40
  5. Step 5: Solve for x
    x = 10,832,583.40/4,793.26
  6. Step 6: Final answer
    x = 2,259.96

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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.