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Finding the Fourth Proportional to 4,630.81, 6,915.62 and 3,965.71

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Solution

The fourth proportional to 4,630.81, 6,915.62 and 3,965.71 is: 5,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.81 : 6,915.62 = 3,965.71 : x
  2. Step 2: Convert to fraction form
    4,630.81/6,915.62 = 3,965.71/x
  3. Step 3: Cross multiply
    4,630.81x = 6,915.62 × 3,965.71
  4. Step 4: Simplify right side
    4,630.81x = 27,425,343.39
  5. Step 5: Solve for x
    x = 27,425,343.39/4,630.81
  6. Step 6: Final answer
    x = 5,922.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.