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Finding the Fourth Proportional to 3,606.37, 5,409.80 and 1,141.23

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Solution

The fourth proportional to 3,606.37, 5,409.80 and 1,141.23 is: 1,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.37 : 5,409.80 = 1,141.23 : x
  2. Step 2: Convert to fraction form
    3,606.37/5,409.80 = 1,141.23/x
  3. Step 3: Cross multiply
    3,606.37x = 5,409.80 × 1,141.23
  4. Step 4: Simplify right side
    3,606.37x = 6,173,828.91
  5. Step 5: Solve for x
    x = 6,173,828.91/3,606.37
  6. Step 6: Final answer
    x = 1,711.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.