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Finding the Fourth Proportional to 5,314.02, 7,333.54 and 2,956.32

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Solution

The fourth proportional to 5,314.02, 7,333.54 and 2,956.32 is: 4,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.02 : 7,333.54 = 2,956.32 : x
  2. Step 2: Convert to fraction form
    5,314.02/7,333.54 = 2,956.32/x
  3. Step 3: Cross multiply
    5,314.02x = 7,333.54 × 2,956.32
  4. Step 4: Simplify right side
    5,314.02x = 21,680,290.97
  5. Step 5: Solve for x
    x = 21,680,290.97/5,314.02
  6. Step 6: Final answer
    x = 4,079.83

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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.