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Finding the Fourth Proportional to 3,588.26, 4,949.04 and 2,596.82

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Solution

The fourth proportional to 3,588.26, 4,949.04 and 2,596.82 is: 3,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.26 : 4,949.04 = 2,596.82 : x
  2. Step 2: Convert to fraction form
    3,588.26/4,949.04 = 2,596.82/x
  3. Step 3: Cross multiply
    3,588.26x = 4,949.04 × 2,596.82
  4. Step 4: Simplify right side
    3,588.26x = 12,851,741.31
  5. Step 5: Solve for x
    x = 12,851,741.31/3,588.26
  6. Step 6: Final answer
    x = 3,581.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.