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Finding the Fourth Proportional to 6,136.22, 8,468.44 and 3,483.74

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Solution

The fourth proportional to 6,136.22, 8,468.44 and 3,483.74 is: 4,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.22 : 8,468.44 = 3,483.74 : x
  2. Step 2: Convert to fraction form
    6,136.22/8,468.44 = 3,483.74/x
  3. Step 3: Cross multiply
    6,136.22x = 8,468.44 × 3,483.74
  4. Step 4: Simplify right side
    6,136.22x = 29,501,843.17
  5. Step 5: Solve for x
    x = 29,501,843.17/6,136.22
  6. Step 6: Final answer
    x = 4,807.82

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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.