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Finding the Fourth Proportional to 3,505.68, 5,265 and 2,410.56

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Solution

The fourth proportional to 3,505.68, 5,265 and 2,410.56 is: 3,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.68 : 5,265 = 2,410.56 : x
  2. Step 2: Convert to fraction form
    3,505.68/5,265 = 2,410.56/x
  3. Step 3: Cross multiply
    3,505.68x = 5,265 × 2,410.56
  4. Step 4: Simplify right side
    3,505.68x = 12,691,598.40
  5. Step 5: Solve for x
    x = 12,691,598.40/3,505.68
  6. Step 6: Final answer
    x = 3,620.30

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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.