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Finding the Fourth Proportional to 3,294.60, 4,935.90 and 2,605.80

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Solution

The fourth proportional to 3,294.60, 4,935.90 and 2,605.80 is: 3,903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.60 : 4,935.90 = 2,605.80 : x
  2. Step 2: Convert to fraction form
    3,294.60/4,935.90 = 2,605.80/x
  3. Step 3: Cross multiply
    3,294.60x = 4,935.90 × 2,605.80
  4. Step 4: Simplify right side
    3,294.60x = 12,861,968.22
  5. Step 5: Solve for x
    x = 12,861,968.22/3,294.60
  6. Step 6: Final answer
    x = 3,903.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.