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Finding the Fourth Proportional to 3,606.72, 5,409.12 and 1,009.44

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Solution

The fourth proportional to 3,606.72, 5,409.12 and 1,009.44 is: 1,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.72 : 5,409.12 = 1,009.44 : x
  2. Step 2: Convert to fraction form
    3,606.72/5,409.12 = 1,009.44/x
  3. Step 3: Cross multiply
    3,606.72x = 5,409.12 × 1,009.44
  4. Step 4: Simplify right side
    3,606.72x = 5,460,182.09
  5. Step 5: Solve for x
    x = 5,460,182.09/3,606.72
  6. Step 6: Final answer
    x = 1,513.89

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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.