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Finding the Fourth Proportional to 5,314.14, 7,333.52 and 2,956.42

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Solution

The fourth proportional to 5,314.14, 7,333.52 and 2,956.42 is: 4,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.14 : 7,333.52 = 2,956.42 : x
  2. Step 2: Convert to fraction form
    5,314.14/7,333.52 = 2,956.42/x
  3. Step 3: Cross multiply
    5,314.14x = 7,333.52 × 2,956.42
  4. Step 4: Simplify right side
    5,314.14x = 21,680,965.20
  5. Step 5: Solve for x
    x = 21,680,965.20/5,314.14
  6. Step 6: Final answer
    x = 4,079.86

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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.