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Finding the Fourth Proportional to 5,173.20, 7,746.24 and 4,745.52

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Solution

The fourth proportional to 5,173.20, 7,746.24 and 4,745.52 is: 7,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.20 : 7,746.24 = 4,745.52 : x
  2. Step 2: Convert to fraction form
    5,173.20/7,746.24 = 4,745.52/x
  3. Step 3: Cross multiply
    5,173.20x = 7,746.24 × 4,745.52
  4. Step 4: Simplify right side
    5,173.20x = 36,759,936.84
  5. Step 5: Solve for x
    x = 36,759,936.84/5,173.20
  6. Step 6: Final answer
    x = 7,105.84

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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.