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Finding the Fourth Proportional to 5,314.42, 7,333.92 and 2,956.57

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Solution

The fourth proportional to 5,314.42, 7,333.92 and 2,956.57 is: 4,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.42 : 7,333.92 = 2,956.57 : x
  2. Step 2: Convert to fraction form
    5,314.42/7,333.92 = 2,956.57/x
  3. Step 3: Cross multiply
    5,314.42x = 7,333.92 × 2,956.57
  4. Step 4: Simplify right side
    5,314.42x = 21,683,247.85
  5. Step 5: Solve for x
    x = 21,683,247.85/5,314.42
  6. Step 6: Final answer
    x = 4,080.08

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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.