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Finding the Fourth Proportional to 5,161.95, 7,744.41 and 1,874.16

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Solution

The fourth proportional to 5,161.95, 7,744.41 and 1,874.16 is: 2,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.95 : 7,744.41 = 1,874.16 : x
  2. Step 2: Convert to fraction form
    5,161.95/7,744.41 = 1,874.16/x
  3. Step 3: Cross multiply
    5,161.95x = 7,744.41 × 1,874.16
  4. Step 4: Simplify right side
    5,161.95x = 14,514,263.45
  5. Step 5: Solve for x
    x = 14,514,263.45/5,161.95
  6. Step 6: Final answer
    x = 2,811.78

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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.