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Finding the Fourth Proportional to 4,124, 5,683.80 and 3,002.96

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Solution

The fourth proportional to 4,124, 5,683.80 and 3,002.96 is: 4,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124 : 5,683.80 = 3,002.96 : x
  2. Step 2: Convert to fraction form
    4,124/5,683.80 = 3,002.96/x
  3. Step 3: Cross multiply
    4,124x = 5,683.80 × 3,002.96
  4. Step 4: Simplify right side
    4,124x = 17,068,224.05
  5. Step 5: Solve for x
    x = 17,068,224.05/4,124
  6. Step 6: Final answer
    x = 4,138.75

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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.