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Finding the Fourth Proportional to 3,967.47, 5,954.19 and 2,715.06

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Solution

The fourth proportional to 3,967.47, 5,954.19 and 2,715.06 is: 4,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.47 : 5,954.19 = 2,715.06 : x
  2. Step 2: Convert to fraction form
    3,967.47/5,954.19 = 2,715.06/x
  3. Step 3: Cross multiply
    3,967.47x = 5,954.19 × 2,715.06
  4. Step 4: Simplify right side
    3,967.47x = 16,165,969.53
  5. Step 5: Solve for x
    x = 16,165,969.53/3,967.47
  6. Step 6: Final answer
    x = 4,074.63

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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.