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Finding the Fourth Proportional to 3,113.67, 4,670.50 and 2,136.81

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Solution

The fourth proportional to 3,113.67, 4,670.50 and 2,136.81 is: 3,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.67 : 4,670.50 = 2,136.81 : x
  2. Step 2: Convert to fraction form
    3,113.67/4,670.50 = 2,136.81/x
  3. Step 3: Cross multiply
    3,113.67x = 4,670.50 × 2,136.81
  4. Step 4: Simplify right side
    3,113.67x = 9,979,971.11
  5. Step 5: Solve for x
    x = 9,979,971.11/3,113.67
  6. Step 6: Final answer
    x = 3,205.21

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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.