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Finding the Fourth Proportional to 5,136.95, 7,089.08 and 3,014

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Solution

The fourth proportional to 5,136.95, 7,089.08 and 3,014 is: 4,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.95 : 7,089.08 = 3,014 : x
  2. Step 2: Convert to fraction form
    5,136.95/7,089.08 = 3,014/x
  3. Step 3: Cross multiply
    5,136.95x = 7,089.08 × 3,014
  4. Step 4: Simplify right side
    5,136.95x = 21,366,487.12
  5. Step 5: Solve for x
    x = 21,366,487.12/5,136.95
  6. Step 6: Final answer
    x = 4,159.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.