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Finding the Fourth Proportional to 5,646.93, 8,468.04 and 2,136.33

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Solution

The fourth proportional to 5,646.93, 8,468.04 and 2,136.33 is: 3,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.93 : 8,468.04 = 2,136.33 : x
  2. Step 2: Convert to fraction form
    5,646.93/8,468.04 = 2,136.33/x
  3. Step 3: Cross multiply
    5,646.93x = 8,468.04 × 2,136.33
  4. Step 4: Simplify right side
    5,646.93x = 18,090,527.89
  5. Step 5: Solve for x
    x = 18,090,527.89/5,646.93
  6. Step 6: Final answer
    x = 3,203.60

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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.