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Finding the Fourth Proportional to 5,263.64, 7,899.24 and 3,073.04

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Solution

The fourth proportional to 5,263.64, 7,899.24 and 3,073.04 is: 4,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.64 : 7,899.24 = 3,073.04 : x
  2. Step 2: Convert to fraction form
    5,263.64/7,899.24 = 3,073.04/x
  3. Step 3: Cross multiply
    5,263.64x = 7,899.24 × 3,073.04
  4. Step 4: Simplify right side
    5,263.64x = 24,274,680.49
  5. Step 5: Solve for x
    x = 24,274,680.49/5,263.64
  6. Step 6: Final answer
    x = 4,611.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.