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Finding the Fourth Proportional to 3,994.40, 5,977.92 and 3,292.64

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Solution

The fourth proportional to 3,994.40, 5,977.92 and 3,292.64 is: 4,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.40 : 5,977.92 = 3,292.64 : x
  2. Step 2: Convert to fraction form
    3,994.40/5,977.92 = 3,292.64/x
  3. Step 3: Cross multiply
    3,994.40x = 5,977.92 × 3,292.64
  4. Step 4: Simplify right side
    3,994.40x = 19,683,138.51
  5. Step 5: Solve for x
    x = 19,683,138.51/3,994.40
  6. Step 6: Final answer
    x = 4,927.68

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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.