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Finding the Fourth Proportional to 4,136.94, 6,206.40 and 2,188.71

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Solution

The fourth proportional to 4,136.94, 6,206.40 and 2,188.71 is: 3,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.94 : 6,206.40 = 2,188.71 : x
  2. Step 2: Convert to fraction form
    4,136.94/6,206.40 = 2,188.71/x
  3. Step 3: Cross multiply
    4,136.94x = 6,206.40 × 2,188.71
  4. Step 4: Simplify right side
    4,136.94x = 13,584,009.74
  5. Step 5: Solve for x
    x = 13,584,009.74/4,136.94
  6. Step 6: Final answer
    x = 3,283.59

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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.