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Finding the Fourth Proportional to 5,729.74, 7,908.54 and 3,372.64

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Solution

The fourth proportional to 5,729.74, 7,908.54 and 3,372.64 is: 4,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.74 : 7,908.54 = 3,372.64 : x
  2. Step 2: Convert to fraction form
    5,729.74/7,908.54 = 3,372.64/x
  3. Step 3: Cross multiply
    5,729.74x = 7,908.54 × 3,372.64
  4. Step 4: Simplify right side
    5,729.74x = 26,672,658.35
  5. Step 5: Solve for x
    x = 26,672,658.35/5,729.74
  6. Step 6: Final answer
    x = 4,655.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.