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Finding the Fourth Proportional to 3,702, 5,108.76 and 2,046

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Solution

The fourth proportional to 3,702, 5,108.76 and 2,046 is: 2,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702 : 5,108.76 = 2,046 : x
  2. Step 2: Convert to fraction form
    3,702/5,108.76 = 2,046/x
  3. Step 3: Cross multiply
    3,702x = 5,108.76 × 2,046
  4. Step 4: Simplify right side
    3,702x = 10,452,522.96
  5. Step 5: Solve for x
    x = 10,452,522.96/3,702
  6. Step 6: Final answer
    x = 2,823.48

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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.