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Finding the Fourth Proportional to 3,136.41, 4,328.21 and 1,720.05

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Solution

The fourth proportional to 3,136.41, 4,328.21 and 1,720.05 is: 2,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.41 : 4,328.21 = 1,720.05 : x
  2. Step 2: Convert to fraction form
    3,136.41/4,328.21 = 1,720.05/x
  3. Step 3: Cross multiply
    3,136.41x = 4,328.21 × 1,720.05
  4. Step 4: Simplify right side
    3,136.41x = 7,444,729.01
  5. Step 5: Solve for x
    x = 7,444,729.01/3,136.41
  6. Step 6: Final answer
    x = 2,373.65

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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.