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Finding the Fourth Proportional to 3,410.85, 4,707.02 and 2,084.27

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Solution

The fourth proportional to 3,410.85, 4,707.02 and 2,084.27 is: 2,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.85 : 4,707.02 = 2,084.27 : x
  2. Step 2: Convert to fraction form
    3,410.85/4,707.02 = 2,084.27/x
  3. Step 3: Cross multiply
    3,410.85x = 4,707.02 × 2,084.27
  4. Step 4: Simplify right side
    3,410.85x = 9,810,700.58
  5. Step 5: Solve for x
    x = 9,810,700.58/3,410.85
  6. Step 6: Final answer
    x = 2,876.32

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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.