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Finding the Fourth Proportional to 5,196.99, 7,795.77 and 1,734.51

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Solution

The fourth proportional to 5,196.99, 7,795.77 and 1,734.51 is: 2,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.99 : 7,795.77 = 1,734.51 : x
  2. Step 2: Convert to fraction form
    5,196.99/7,795.77 = 1,734.51/x
  3. Step 3: Cross multiply
    5,196.99x = 7,795.77 × 1,734.51
  4. Step 4: Simplify right side
    5,196.99x = 13,521,841.02
  5. Step 5: Solve for x
    x = 13,521,841.02/5,196.99
  6. Step 6: Final answer
    x = 2,601.86

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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.