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Finding the Fourth Proportional to 5,314.73, 7,333.34 and 2,956.87

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Solution

The fourth proportional to 5,314.73, 7,333.34 and 2,956.87 is: 4,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.73 : 7,333.34 = 2,956.87 : x
  2. Step 2: Convert to fraction form
    5,314.73/7,333.34 = 2,956.87/x
  3. Step 3: Cross multiply
    5,314.73x = 7,333.34 × 2,956.87
  4. Step 4: Simplify right side
    5,314.73x = 21,683,727.43
  5. Step 5: Solve for x
    x = 21,683,727.43/5,314.73
  6. Step 6: Final answer
    x = 4,079.93

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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.