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Finding the Fourth Proportional to 4,614.21, 6,946.25 and 4,212.45

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Solution

The fourth proportional to 4,614.21, 6,946.25 and 4,212.45 is: 6,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.21 : 6,946.25 = 4,212.45 : x
  2. Step 2: Convert to fraction form
    4,614.21/6,946.25 = 4,212.45/x
  3. Step 3: Cross multiply
    4,614.21x = 6,946.25 × 4,212.45
  4. Step 4: Simplify right side
    4,614.21x = 29,260,709.75
  5. Step 5: Solve for x
    x = 29,260,709.75/4,614.21
  6. Step 6: Final answer
    x = 6,341.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.