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Finding the Fourth Proportional to 4,172.07, 6,253.65 and 1,396.20

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Solution

The fourth proportional to 4,172.07, 6,253.65 and 1,396.20 is: 2,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.07 : 6,253.65 = 1,396.20 : x
  2. Step 2: Convert to fraction form
    4,172.07/6,253.65 = 1,396.20/x
  3. Step 3: Cross multiply
    4,172.07x = 6,253.65 × 1,396.20
  4. Step 4: Simplify right side
    4,172.07x = 8,731,346.13
  5. Step 5: Solve for x
    x = 8,731,346.13/4,172.07
  6. Step 6: Final answer
    x = 2,092.81

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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.