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Finding the Fourth Proportional to 4,947.78, 7,411.54 and 3,305.10

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Solution

The fourth proportional to 4,947.78, 7,411.54 and 3,305.10 is: 4,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.78 : 7,411.54 = 3,305.10 : x
  2. Step 2: Convert to fraction form
    4,947.78/7,411.54 = 3,305.10/x
  3. Step 3: Cross multiply
    4,947.78x = 7,411.54 × 3,305.10
  4. Step 4: Simplify right side
    4,947.78x = 24,495,880.85
  5. Step 5: Solve for x
    x = 24,495,880.85/4,947.78
  6. Step 6: Final answer
    x = 4,950.88

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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.