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Finding the Fourth Proportional to 4,786.17, 7,182.77 and 3,142.14

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Solution

The fourth proportional to 4,786.17, 7,182.77 and 3,142.14 is: 4,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.17 : 7,182.77 = 3,142.14 : x
  2. Step 2: Convert to fraction form
    4,786.17/7,182.77 = 3,142.14/x
  3. Step 3: Cross multiply
    4,786.17x = 7,182.77 × 3,142.14
  4. Step 4: Simplify right side
    4,786.17x = 22,569,268.93
  5. Step 5: Solve for x
    x = 22,569,268.93/4,786.17
  6. Step 6: Final answer
    x = 4,715.52

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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.