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Finding the Fourth Proportional to 4,659.26, 6,988.94 and 1,149.26

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Solution

The fourth proportional to 4,659.26, 6,988.94 and 1,149.26 is: 1,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.26 : 6,988.94 = 1,149.26 : x
  2. Step 2: Convert to fraction form
    4,659.26/6,988.94 = 1,149.26/x
  3. Step 3: Cross multiply
    4,659.26x = 6,988.94 × 1,149.26
  4. Step 4: Simplify right side
    4,659.26x = 8,032,109.18
  5. Step 5: Solve for x
    x = 8,032,109.18/4,659.26
  6. Step 6: Final answer
    x = 1,723.90

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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.