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Finding the Fourth Proportional to 3,100.41, 4,647.51 and 1,713.42

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Solution

The fourth proportional to 3,100.41, 4,647.51 and 1,713.42 is: 2,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.41 : 4,647.51 = 1,713.42 : x
  2. Step 2: Convert to fraction form
    3,100.41/4,647.51 = 1,713.42/x
  3. Step 3: Cross multiply
    3,100.41x = 4,647.51 × 1,713.42
  4. Step 4: Simplify right side
    3,100.41x = 7,963,136.58
  5. Step 5: Solve for x
    x = 7,963,136.58/3,100.41
  6. Step 6: Final answer
    x = 2,568.41

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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.