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Finding the Fourth Proportional to 4,900.50, 7,353.99 and 2,303.64

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Solution

The fourth proportional to 4,900.50, 7,353.99 and 2,303.64 is: 3,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.50 : 7,353.99 = 2,303.64 : x
  2. Step 2: Convert to fraction form
    4,900.50/7,353.99 = 2,303.64/x
  3. Step 3: Cross multiply
    4,900.50x = 7,353.99 × 2,303.64
  4. Step 4: Simplify right side
    4,900.50x = 16,940,945.52
  5. Step 5: Solve for x
    x = 16,940,945.52/4,900.50
  6. Step 6: Final answer
    x = 3,456.98

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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.