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Finding the Fourth Proportional to 5,314, 7,333.17 and 2,956.22

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Solution

The fourth proportional to 5,314, 7,333.17 and 2,956.22 is: 4,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314 : 7,333.17 = 2,956.22 : x
  2. Step 2: Convert to fraction form
    5,314/7,333.17 = 2,956.22/x
  3. Step 3: Cross multiply
    5,314x = 7,333.17 × 2,956.22
  4. Step 4: Simplify right side
    5,314x = 21,678,463.82
  5. Step 5: Solve for x
    x = 21,678,463.82/5,314
  6. Step 6: Final answer
    x = 4,079.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.