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Finding the Fourth Proportional to 5,420.80, 8,125.74 and 2,136.22

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Solution

The fourth proportional to 5,420.80, 8,125.74 and 2,136.22 is: 3,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.80 : 8,125.74 = 2,136.22 : x
  2. Step 2: Convert to fraction form
    5,420.80/8,125.74 = 2,136.22/x
  3. Step 3: Cross multiply
    5,420.80x = 8,125.74 × 2,136.22
  4. Step 4: Simplify right side
    5,420.80x = 17,358,368.30
  5. Step 5: Solve for x
    x = 17,358,368.30/5,420.80
  6. Step 6: Final answer
    x = 3,202.18

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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.