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Finding the Fourth Proportional to 5,156.63, 7,717.42 and 3,183.51

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Solution

The fourth proportional to 5,156.63, 7,717.42 and 3,183.51 is: 4,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.63 : 7,717.42 = 3,183.51 : x
  2. Step 2: Convert to fraction form
    5,156.63/7,717.42 = 3,183.51/x
  3. Step 3: Cross multiply
    5,156.63x = 7,717.42 × 3,183.51
  4. Step 4: Simplify right side
    5,156.63x = 24,568,483.74
  5. Step 5: Solve for x
    x = 24,568,483.74/5,156.63
  6. Step 6: Final answer
    x = 4,764.45

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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.