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Finding the Fourth Proportional to 5,198.66, 7,798.05 and 1,735.91

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Solution

The fourth proportional to 5,198.66, 7,798.05 and 1,735.91 is: 2,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.66 : 7,798.05 = 1,735.91 : x
  2. Step 2: Convert to fraction form
    5,198.66/7,798.05 = 1,735.91/x
  3. Step 3: Cross multiply
    5,198.66x = 7,798.05 × 1,735.91
  4. Step 4: Simplify right side
    5,198.66x = 13,536,712.98
  5. Step 5: Solve for x
    x = 13,536,712.98/5,198.66
  6. Step 6: Final answer
    x = 2,603.89

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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.