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Finding the Fourth Proportional to 3,156.84, 4,727.16 and 2,850.66

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Solution

The fourth proportional to 3,156.84, 4,727.16 and 2,850.66 is: 4,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.84 : 4,727.16 = 2,850.66 : x
  2. Step 2: Convert to fraction form
    3,156.84/4,727.16 = 2,850.66/x
  3. Step 3: Cross multiply
    3,156.84x = 4,727.16 × 2,850.66
  4. Step 4: Simplify right side
    3,156.84x = 13,475,525.93
  5. Step 5: Solve for x
    x = 13,475,525.93/3,156.84
  6. Step 6: Final answer
    x = 4,268.68

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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.