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Finding the Fourth Proportional to 3,971, 5,954.88 and 2,215.74

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Solution

The fourth proportional to 3,971, 5,954.88 and 2,215.74 is: 3,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971 : 5,954.88 = 2,215.74 : x
  2. Step 2: Convert to fraction form
    3,971/5,954.88 = 2,215.74/x
  3. Step 3: Cross multiply
    3,971x = 5,954.88 × 2,215.74
  4. Step 4: Simplify right side
    3,971x = 13,194,465.81
  5. Step 5: Solve for x
    x = 13,194,465.81/3,971
  6. Step 6: Final answer
    x = 3,322.71

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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.