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Finding the Fourth Proportional to 5,314.50, 7,333.86 and 2,956.72

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Solution

The fourth proportional to 5,314.50, 7,333.86 and 2,956.72 is: 4,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.50 : 7,333.86 = 2,956.72 : x
  2. Step 2: Convert to fraction form
    5,314.50/7,333.86 = 2,956.72/x
  3. Step 3: Cross multiply
    5,314.50x = 7,333.86 × 2,956.72
  4. Step 4: Simplify right side
    5,314.50x = 21,684,170.54
  5. Step 5: Solve for x
    x = 21,684,170.54/5,314.50
  6. Step 6: Final answer
    x = 4,080.19

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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.