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Finding the Fourth Proportional to 5,067.35, 6,994.10 and 2,972.15

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Solution

The fourth proportional to 5,067.35, 6,994.10 and 2,972.15 is: 4,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.35 : 6,994.10 = 2,972.15 : x
  2. Step 2: Convert to fraction form
    5,067.35/6,994.10 = 2,972.15/x
  3. Step 3: Cross multiply
    5,067.35x = 6,994.10 × 2,972.15
  4. Step 4: Simplify right side
    5,067.35x = 20,787,486.77
  5. Step 5: Solve for x
    x = 20,787,486.77/5,067.35
  6. Step 6: Final answer
    x = 4,102.24

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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.