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Finding the Fourth Proportional to 3,534.45, 4,910.28 and 3,502.34

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Solution

The fourth proportional to 3,534.45, 4,910.28 and 3,502.34 is: 4,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.45 : 4,910.28 = 3,502.34 : x
  2. Step 2: Convert to fraction form
    3,534.45/4,910.28 = 3,502.34/x
  3. Step 3: Cross multiply
    3,534.45x = 4,910.28 × 3,502.34
  4. Step 4: Simplify right side
    3,534.45x = 17,197,445.50
  5. Step 5: Solve for x
    x = 17,197,445.50/3,534.45
  6. Step 6: Final answer
    x = 4,865.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.