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Finding the Fourth Proportional to 4,905.68, 6,770.43 and 2,916.24

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Solution

The fourth proportional to 4,905.68, 6,770.43 and 2,916.24 is: 4,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.68 : 6,770.43 = 2,916.24 : x
  2. Step 2: Convert to fraction form
    4,905.68/6,770.43 = 2,916.24/x
  3. Step 3: Cross multiply
    4,905.68x = 6,770.43 × 2,916.24
  4. Step 4: Simplify right side
    4,905.68x = 19,744,198.78
  5. Step 5: Solve for x
    x = 19,744,198.78/4,905.68
  6. Step 6: Final answer
    x = 4,024.77

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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.