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Finding the Fourth Proportional to 4,952.80, 7,429.24 and 1,489.84

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Solution

The fourth proportional to 4,952.80, 7,429.24 and 1,489.84 is: 2,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.80 : 7,429.24 = 1,489.84 : x
  2. Step 2: Convert to fraction form
    4,952.80/7,429.24 = 1,489.84/x
  3. Step 3: Cross multiply
    4,952.80x = 7,429.24 × 1,489.84
  4. Step 4: Simplify right side
    4,952.80x = 11,068,378.92
  5. Step 5: Solve for x
    x = 11,068,378.92/4,952.80
  6. Step 6: Final answer
    x = 2,234.77

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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.