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Finding the Fourth Proportional to 5,314.32, 7,333.42 and 2,956.40

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Solution

The fourth proportional to 5,314.32, 7,333.42 and 2,956.40 is: 4,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.32 : 7,333.42 = 2,956.40 : x
  2. Step 2: Convert to fraction form
    5,314.32/7,333.42 = 2,956.40/x
  3. Step 3: Cross multiply
    5,314.32x = 7,333.42 × 2,956.40
  4. Step 4: Simplify right side
    5,314.32x = 21,680,522.89
  5. Step 5: Solve for x
    x = 21,680,522.89/5,314.32
  6. Step 6: Final answer
    x = 4,079.64

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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.