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Finding the Fourth Proportional to 4,991.74, 7,488.92 and 1,704.82

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Solution

The fourth proportional to 4,991.74, 7,488.92 and 1,704.82 is: 2,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.74 : 7,488.92 = 1,704.82 : x
  2. Step 2: Convert to fraction form
    4,991.74/7,488.92 = 1,704.82/x
  3. Step 3: Cross multiply
    4,991.74x = 7,488.92 × 1,704.82
  4. Step 4: Simplify right side
    4,991.74x = 12,767,260.59
  5. Step 5: Solve for x
    x = 12,767,260.59/4,991.74
  6. Step 6: Final answer
    x = 2,557.68

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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.