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Finding the Fourth Proportional to 3,606.87, 5,410.62 and 1,141.02

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Solution

The fourth proportional to 3,606.87, 5,410.62 and 1,141.02 is: 1,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.87 : 5,410.62 = 1,141.02 : x
  2. Step 2: Convert to fraction form
    3,606.87/5,410.62 = 1,141.02/x
  3. Step 3: Cross multiply
    3,606.87x = 5,410.62 × 1,141.02
  4. Step 4: Simplify right side
    3,606.87x = 6,173,625.63
  5. Step 5: Solve for x
    x = 6,173,625.63/3,606.87
  6. Step 6: Final answer
    x = 1,711.63

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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.