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Finding the Fourth Proportional to 3,608.85, 5,410.01 and 1,416.99

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Solution

The fourth proportional to 3,608.85, 5,410.01 and 1,416.99 is: 2,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.85 : 5,410.01 = 1,416.99 : x
  2. Step 2: Convert to fraction form
    3,608.85/5,410.01 = 1,416.99/x
  3. Step 3: Cross multiply
    3,608.85x = 5,410.01 × 1,416.99
  4. Step 4: Simplify right side
    3,608.85x = 7,665,930.07
  5. Step 5: Solve for x
    x = 7,665,930.07/3,608.85
  6. Step 6: Final answer
    x = 2,124.20

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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.