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Finding the Fourth Proportional to 3,952.70, 5,914.70 and 3,497.53

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Solution

The fourth proportional to 3,952.70, 5,914.70 and 3,497.53 is: 5,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.70 : 5,914.70 = 3,497.53 : x
  2. Step 2: Convert to fraction form
    3,952.70/5,914.70 = 3,497.53/x
  3. Step 3: Cross multiply
    3,952.70x = 5,914.70 × 3,497.53
  4. Step 4: Simplify right side
    3,952.70x = 20,686,822.79
  5. Step 5: Solve for x
    x = 20,686,822.79/3,952.70
  6. Step 6: Final answer
    x = 5,233.59

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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.