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Finding the Fourth Proportional to 5,797.77, 7,994.86 and 3,439.45

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Solution

The fourth proportional to 5,797.77, 7,994.86 and 3,439.45 is: 4,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.77 : 7,994.86 = 3,439.45 : x
  2. Step 2: Convert to fraction form
    5,797.77/7,994.86 = 3,439.45/x
  3. Step 3: Cross multiply
    5,797.77x = 7,994.86 × 3,439.45
  4. Step 4: Simplify right side
    5,797.77x = 27,497,921.23
  5. Step 5: Solve for x
    x = 27,497,921.23/5,797.77
  6. Step 6: Final answer
    x = 4,742.84

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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.