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Finding the Fourth Proportional to 4,880.36, 7,314.04 and 2,801

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Solution

The fourth proportional to 4,880.36, 7,314.04 and 2,801 is: 4,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.36 : 7,314.04 = 2,801 : x
  2. Step 2: Convert to fraction form
    4,880.36/7,314.04 = 2,801/x
  3. Step 3: Cross multiply
    4,880.36x = 7,314.04 × 2,801
  4. Step 4: Simplify right side
    4,880.36x = 20,486,626.04
  5. Step 5: Solve for x
    x = 20,486,626.04/4,880.36
  6. Step 6: Final answer
    x = 4,197.77

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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.