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Finding the Fourth Proportional to 4,605.66, 6,901.74 and 2,729.70

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Solution

The fourth proportional to 4,605.66, 6,901.74 and 2,729.70 is: 4,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.66 : 6,901.74 = 2,729.70 : x
  2. Step 2: Convert to fraction form
    4,605.66/6,901.74 = 2,729.70/x
  3. Step 3: Cross multiply
    4,605.66x = 6,901.74 × 2,729.70
  4. Step 4: Simplify right side
    4,605.66x = 18,839,679.68
  5. Step 5: Solve for x
    x = 18,839,679.68/4,605.66
  6. Step 6: Final answer
    x = 4,090.55

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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.