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Finding the Fourth Proportional to 3,701.92, 5,108.75 and 2,023.40

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Solution

The fourth proportional to 3,701.92, 5,108.75 and 2,023.40 is: 2,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.92 : 5,108.75 = 2,023.40 : x
  2. Step 2: Convert to fraction form
    3,701.92/5,108.75 = 2,023.40/x
  3. Step 3: Cross multiply
    3,701.92x = 5,108.75 × 2,023.40
  4. Step 4: Simplify right side
    3,701.92x = 10,337,024.26
  5. Step 5: Solve for x
    x = 10,337,024.26/3,701.92
  6. Step 6: Final answer
    x = 2,792.34

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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.