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Finding the Fourth Proportional to 3,136.98, 4,696.51 and 2,109.14

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Solution

The fourth proportional to 3,136.98, 4,696.51 and 2,109.14 is: 3,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.98 : 4,696.51 = 2,109.14 : x
  2. Step 2: Convert to fraction form
    3,136.98/4,696.51 = 2,109.14/x
  3. Step 3: Cross multiply
    3,136.98x = 4,696.51 × 2,109.14
  4. Step 4: Simplify right side
    3,136.98x = 9,905,597.10
  5. Step 5: Solve for x
    x = 9,905,597.10/3,136.98
  6. Step 6: Final answer
    x = 3,157.69

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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.