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Finding the Fourth Proportional to 4,119.57, 5,683.05 and 3,000

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Solution

The fourth proportional to 4,119.57, 5,683.05 and 3,000 is: 4,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.57 : 5,683.05 = 3,000 : x
  2. Step 2: Convert to fraction form
    4,119.57/5,683.05 = 3,000/x
  3. Step 3: Cross multiply
    4,119.57x = 5,683.05 × 3,000
  4. Step 4: Simplify right side
    4,119.57x = 17,049,150
  5. Step 5: Solve for x
    x = 17,049,150/4,119.57
  6. Step 6: Final answer
    x = 4,138.58

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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.