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Finding the Fourth Proportional to 4,896.50, 7,346.01 and 2,122.53

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Solution

The fourth proportional to 4,896.50, 7,346.01 and 2,122.53 is: 3,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.50 : 7,346.01 = 2,122.53 : x
  2. Step 2: Convert to fraction form
    4,896.50/7,346.01 = 2,122.53/x
  3. Step 3: Cross multiply
    4,896.50x = 7,346.01 × 2,122.53
  4. Step 4: Simplify right side
    4,896.50x = 15,592,089.88
  5. Step 5: Solve for x
    x = 15,592,089.88/4,896.50
  6. Step 6: Final answer
    x = 3,184.34

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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.