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Finding the Fourth Proportional to 4,274.91, 6,412.30 and 2,193.71

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Solution

The fourth proportional to 4,274.91, 6,412.30 and 2,193.71 is: 3,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.91 : 6,412.30 = 2,193.71 : x
  2. Step 2: Convert to fraction form
    4,274.91/6,412.30 = 2,193.71/x
  3. Step 3: Cross multiply
    4,274.91x = 6,412.30 × 2,193.71
  4. Step 4: Simplify right side
    4,274.91x = 14,066,737.18
  5. Step 5: Solve for x
    x = 14,066,737.18/4,274.91
  6. Step 6: Final answer
    x = 3,290.53

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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.