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Finding the Fourth Proportional to 3,294.70, 4,937.78 and 2,466.48

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Solution

The fourth proportional to 3,294.70, 4,937.78 and 2,466.48 is: 3,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.70 : 4,937.78 = 2,466.48 : x
  2. Step 2: Convert to fraction form
    3,294.70/4,937.78 = 2,466.48/x
  3. Step 3: Cross multiply
    3,294.70x = 4,937.78 × 2,466.48
  4. Step 4: Simplify right side
    3,294.70x = 12,178,935.61
  5. Step 5: Solve for x
    x = 12,178,935.61/3,294.70
  6. Step 6: Final answer
    x = 3,696.52

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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.