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Finding the Fourth Proportional to 3,187.07, 4,777.71 and 1,134.59

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Solution

The fourth proportional to 3,187.07, 4,777.71 and 1,134.59 is: 1,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.07 : 4,777.71 = 1,134.59 : x
  2. Step 2: Convert to fraction form
    3,187.07/4,777.71 = 1,134.59/x
  3. Step 3: Cross multiply
    3,187.07x = 4,777.71 × 1,134.59
  4. Step 4: Simplify right side
    3,187.07x = 5,420,741.99
  5. Step 5: Solve for x
    x = 5,420,741.99/3,187.07
  6. Step 6: Final answer
    x = 1,700.85

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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.