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Finding the Fourth Proportional to 5,472.66, 8,202.07 and 3,497.53

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Solution

The fourth proportional to 5,472.66, 8,202.07 and 3,497.53 is: 5,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.66 : 8,202.07 = 3,497.53 : x
  2. Step 2: Convert to fraction form
    5,472.66/8,202.07 = 3,497.53/x
  3. Step 3: Cross multiply
    5,472.66x = 8,202.07 × 3,497.53
  4. Step 4: Simplify right side
    5,472.66x = 28,686,985.89
  5. Step 5: Solve for x
    x = 28,686,985.89/5,472.66
  6. Step 6: Final answer
    x = 5,241.87

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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.