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Finding the Fourth Proportional to 3,383.85, 5,070.29 and 1,738.11

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Solution

The fourth proportional to 3,383.85, 5,070.29 and 1,738.11 is: 2,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.85 : 5,070.29 = 1,738.11 : x
  2. Step 2: Convert to fraction form
    3,383.85/5,070.29 = 1,738.11/x
  3. Step 3: Cross multiply
    3,383.85x = 5,070.29 × 1,738.11
  4. Step 4: Simplify right side
    3,383.85x = 8,812,713.06
  5. Step 5: Solve for x
    x = 8,812,713.06/3,383.85
  6. Step 6: Final answer
    x = 2,604.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.