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Finding the Fourth Proportional to 3,993.93, 5,994.68 and 2,047.50

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Solution

The fourth proportional to 3,993.93, 5,994.68 and 2,047.50 is: 3,073.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.93 : 5,994.68 = 2,047.50 : x
  2. Step 2: Convert to fraction form
    3,993.93/5,994.68 = 2,047.50/x
  3. Step 3: Cross multiply
    3,993.93x = 5,994.68 × 2,047.50
  4. Step 4: Simplify right side
    3,993.93x = 12,274,097.06
  5. Step 5: Solve for x
    x = 12,274,097.06/3,993.93
  6. Step 6: Final answer
    x = 3,073.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.