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Finding the Fourth Proportional to 4,176.63, 5,758.44 and 2,983.05

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Solution

The fourth proportional to 4,176.63, 5,758.44 and 2,983.05 is: 4,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.63 : 5,758.44 = 2,983.05 : x
  2. Step 2: Convert to fraction form
    4,176.63/5,758.44 = 2,983.05/x
  3. Step 3: Cross multiply
    4,176.63x = 5,758.44 × 2,983.05
  4. Step 4: Simplify right side
    4,176.63x = 17,177,670.73
  5. Step 5: Solve for x
    x = 17,177,670.73/4,176.63
  6. Step 6: Final answer
    x = 4,112.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.