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Finding the Fourth Proportional to 4,956.69, 7,434.70 and 1,446.56

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Solution

The fourth proportional to 4,956.69, 7,434.70 and 1,446.56 is: 2,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.69 : 7,434.70 = 1,446.56 : x
  2. Step 2: Convert to fraction form
    4,956.69/7,434.70 = 1,446.56/x
  3. Step 3: Cross multiply
    4,956.69x = 7,434.70 × 1,446.56
  4. Step 4: Simplify right side
    4,956.69x = 10,754,739.63
  5. Step 5: Solve for x
    x = 10,754,739.63/4,956.69
  6. Step 6: Final answer
    x = 2,169.74

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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.