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Finding the Fourth Proportional to 4,896.54, 7,337.91 and 3,795.75

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Solution

The fourth proportional to 4,896.54, 7,337.91 and 3,795.75 is: 5,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.54 : 7,337.91 = 3,795.75 : x
  2. Step 2: Convert to fraction form
    4,896.54/7,337.91 = 3,795.75/x
  3. Step 3: Cross multiply
    4,896.54x = 7,337.91 × 3,795.75
  4. Step 4: Simplify right side
    4,896.54x = 27,852,871.88
  5. Step 5: Solve for x
    x = 27,852,871.88/4,896.54
  6. Step 6: Final answer
    x = 5,688.28

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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.