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Finding the Fourth Proportional to 5,166.99, 7,750.76 and 1,704.51

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Solution

The fourth proportional to 5,166.99, 7,750.76 and 1,704.51 is: 2,556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.99 : 7,750.76 = 1,704.51 : x
  2. Step 2: Convert to fraction form
    5,166.99/7,750.76 = 1,704.51/x
  3. Step 3: Cross multiply
    5,166.99x = 7,750.76 × 1,704.51
  4. Step 4: Simplify right side
    5,166.99x = 13,211,239.41
  5. Step 5: Solve for x
    x = 13,211,239.41/5,166.99
  6. Step 6: Final answer
    x = 2,556.85

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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.