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Finding the Fourth Proportional to 4,729.78, 7,088.03 and 3,738.24

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Solution

The fourth proportional to 4,729.78, 7,088.03 and 3,738.24 is: 5,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.78 : 7,088.03 = 3,738.24 : x
  2. Step 2: Convert to fraction form
    4,729.78/7,088.03 = 3,738.24/x
  3. Step 3: Cross multiply
    4,729.78x = 7,088.03 × 3,738.24
  4. Step 4: Simplify right side
    4,729.78x = 26,496,757.27
  5. Step 5: Solve for x
    x = 26,496,757.27/4,729.78
  6. Step 6: Final answer
    x = 5,602.11

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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.