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Finding the Fourth Proportional to 3,606.22, 5,409 and 1,141

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Solution

The fourth proportional to 3,606.22, 5,409 and 1,141 is: 1,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.22 : 5,409 = 1,141 : x
  2. Step 2: Convert to fraction form
    3,606.22/5,409 = 1,141/x
  3. Step 3: Cross multiply
    3,606.22x = 5,409 × 1,141
  4. Step 4: Simplify right side
    3,606.22x = 6,171,669
  5. Step 5: Solve for x
    x = 6,171,669/3,606.22
  6. Step 6: Final answer
    x = 1,711.40

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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.