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Finding the Fourth Proportional to 3,470.34, 5,203.08 and 1,738.02

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Solution

The fourth proportional to 3,470.34, 5,203.08 and 1,738.02 is: 2,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.34 : 5,203.08 = 1,738.02 : x
  2. Step 2: Convert to fraction form
    3,470.34/5,203.08 = 1,738.02/x
  3. Step 3: Cross multiply
    3,470.34x = 5,203.08 × 1,738.02
  4. Step 4: Simplify right side
    3,470.34x = 9,043,057.10
  5. Step 5: Solve for x
    x = 9,043,057.10/3,470.34
  6. Step 6: Final answer
    x = 2,605.81

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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.