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Finding the Fourth Proportional to 3,474.46, 5,203.29 and 2,435.50

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Solution

The fourth proportional to 3,474.46, 5,203.29 and 2,435.50 is: 3,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.46 : 5,203.29 = 2,435.50 : x
  2. Step 2: Convert to fraction form
    3,474.46/5,203.29 = 2,435.50/x
  3. Step 3: Cross multiply
    3,474.46x = 5,203.29 × 2,435.50
  4. Step 4: Simplify right side
    3,474.46x = 12,672,612.80
  5. Step 5: Solve for x
    x = 12,672,612.80/3,474.46
  6. Step 6: Final answer
    x = 3,647.36

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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.