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Finding the Fourth Proportional to 4,840.50, 7,257.44 and 2,340.30

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Solution

The fourth proportional to 4,840.50, 7,257.44 and 2,340.30 is: 3,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.50 : 7,257.44 = 2,340.30 : x
  2. Step 2: Convert to fraction form
    4,840.50/7,257.44 = 2,340.30/x
  3. Step 3: Cross multiply
    4,840.50x = 7,257.44 × 2,340.30
  4. Step 4: Simplify right side
    4,840.50x = 16,984,586.83
  5. Step 5: Solve for x
    x = 16,984,586.83/4,840.50
  6. Step 6: Final answer
    x = 3,508.85

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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.