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Finding the Fourth Proportional to 3,606.12, 5,409.22 and 1,009.48

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Solution

The fourth proportional to 3,606.12, 5,409.22 and 1,009.48 is: 1,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.12 : 5,409.22 = 1,009.48 : x
  2. Step 2: Convert to fraction form
    3,606.12/5,409.22 = 1,009.48/x
  3. Step 3: Cross multiply
    3,606.12x = 5,409.22 × 1,009.48
  4. Step 4: Simplify right side
    3,606.12x = 5,460,499.41
  5. Step 5: Solve for x
    x = 5,460,499.41/3,606.12
  6. Step 6: Final answer
    x = 1,514.23

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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.