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Finding the Fourth Proportional to 5,427.69, 8,136 and 2,139.45

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Solution

The fourth proportional to 5,427.69, 8,136 and 2,139.45 is: 3,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.69 : 8,136 = 2,139.45 : x
  2. Step 2: Convert to fraction form
    5,427.69/8,136 = 2,139.45/x
  3. Step 3: Cross multiply
    5,427.69x = 8,136 × 2,139.45
  4. Step 4: Simplify right side
    5,427.69x = 17,406,565.20
  5. Step 5: Solve for x
    x = 17,406,565.20/5,427.69
  6. Step 6: Final answer
    x = 3,206.99

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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.