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Finding the Fourth Proportional to 4,906.40, 6,770.08 and 2,916.92

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Solution

The fourth proportional to 4,906.40, 6,770.08 and 2,916.92 is: 4,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.40 : 6,770.08 = 2,916.92 : x
  2. Step 2: Convert to fraction form
    4,906.40/6,770.08 = 2,916.92/x
  3. Step 3: Cross multiply
    4,906.40x = 6,770.08 × 2,916.92
  4. Step 4: Simplify right side
    4,906.40x = 19,747,781.75
  5. Step 5: Solve for x
    x = 19,747,781.75/4,906.40
  6. Step 6: Final answer
    x = 4,024.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.