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Finding the Fourth Proportional to 4,902.87, 7,353.50 and 1,616.01

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Solution

The fourth proportional to 4,902.87, 7,353.50 and 1,616.01 is: 2,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.87 : 7,353.50 = 1,616.01 : x
  2. Step 2: Convert to fraction form
    4,902.87/7,353.50 = 1,616.01/x
  3. Step 3: Cross multiply
    4,902.87x = 7,353.50 × 1,616.01
  4. Step 4: Simplify right side
    4,902.87x = 11,883,321.45
  5. Step 5: Solve for x
    x = 11,883,321.45/4,902.87
  6. Step 6: Final answer
    x = 2,423.75

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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.