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Finding the Fourth Proportional to 4,952.66, 7,429.02 and 1,204.43

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Solution

The fourth proportional to 4,952.66, 7,429.02 and 1,204.43 is: 1,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.66 : 7,429.02 = 1,204.43 : x
  2. Step 2: Convert to fraction form
    4,952.66/7,429.02 = 1,204.43/x
  3. Step 3: Cross multiply
    4,952.66x = 7,429.02 × 1,204.43
  4. Step 4: Simplify right side
    4,952.66x = 8,947,691.39
  5. Step 5: Solve for x
    x = 8,947,691.39/4,952.66
  6. Step 6: Final answer
    x = 1,806.65

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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.