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Finding the Fourth Proportional to 5,064.66, 7,600.39 and 1,777.77

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Solution

The fourth proportional to 5,064.66, 7,600.39 and 1,777.77 is: 2,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.66 : 7,600.39 = 1,777.77 : x
  2. Step 2: Convert to fraction form
    5,064.66/7,600.39 = 1,777.77/x
  3. Step 3: Cross multiply
    5,064.66x = 7,600.39 × 1,777.77
  4. Step 4: Simplify right side
    5,064.66x = 13,511,722.38
  5. Step 5: Solve for x
    x = 13,511,722.38/5,064.66
  6. Step 6: Final answer
    x = 2,667.84

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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.