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Finding the Fourth Proportional to 3,151.64, 4,727.97 and 1,071.77

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Solution

The fourth proportional to 3,151.64, 4,727.97 and 1,071.77 is: 1,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.64 : 4,727.97 = 1,071.77 : x
  2. Step 2: Convert to fraction form
    3,151.64/4,727.97 = 1,071.77/x
  3. Step 3: Cross multiply
    3,151.64x = 4,727.97 × 1,071.77
  4. Step 4: Simplify right side
    3,151.64x = 5,067,272.77
  5. Step 5: Solve for x
    x = 5,067,272.77/3,151.64
  6. Step 6: Final answer
    x = 1,607.82

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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.