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Finding the Fourth Proportional to 3,750.96, 5,627.24 and 1,410.99

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Solution

The fourth proportional to 3,750.96, 5,627.24 and 1,410.99 is: 2,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.96 : 5,627.24 = 1,410.99 : x
  2. Step 2: Convert to fraction form
    3,750.96/5,627.24 = 1,410.99/x
  3. Step 3: Cross multiply
    3,750.96x = 5,627.24 × 1,410.99
  4. Step 4: Simplify right side
    3,750.96x = 7,939,944.18
  5. Step 5: Solve for x
    x = 7,939,944.18/3,750.96
  6. Step 6: Final answer
    x = 2,116.78

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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.