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Finding the Fourth Proportional to 4,745.79, 7,108.76 and 3,816.32

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Solution

The fourth proportional to 4,745.79, 7,108.76 and 3,816.32 is: 5,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.79 : 7,108.76 = 3,816.32 : x
  2. Step 2: Convert to fraction form
    4,745.79/7,108.76 = 3,816.32/x
  3. Step 3: Cross multiply
    4,745.79x = 7,108.76 × 3,816.32
  4. Step 4: Simplify right side
    4,745.79x = 27,129,276.96
  5. Step 5: Solve for x
    x = 27,129,276.96/4,745.79
  6. Step 6: Final answer
    x = 5,716.49

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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.