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Finding the Fourth Proportional to 3,136.26, 4,328.04 and 1,809.86

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Solution

The fourth proportional to 3,136.26, 4,328.04 and 1,809.86 is: 2,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.26 : 4,328.04 = 1,809.86 : x
  2. Step 2: Convert to fraction form
    3,136.26/4,328.04 = 1,809.86/x
  3. Step 3: Cross multiply
    3,136.26x = 4,328.04 × 1,809.86
  4. Step 4: Simplify right side
    3,136.26x = 7,833,146.47
  5. Step 5: Solve for x
    x = 7,833,146.47/3,136.26
  6. Step 6: Final answer
    x = 2,497.61

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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.