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Finding the Fourth Proportional to 3,606.96, 5,409.48 and 1,266.26

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Solution

The fourth proportional to 3,606.96, 5,409.48 and 1,266.26 is: 1,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.96 : 5,409.48 = 1,266.26 : x
  2. Step 2: Convert to fraction form
    3,606.96/5,409.48 = 1,266.26/x
  3. Step 3: Cross multiply
    3,606.96x = 5,409.48 × 1,266.26
  4. Step 4: Simplify right side
    3,606.96x = 6,849,801.06
  5. Step 5: Solve for x
    x = 6,849,801.06/3,606.96
  6. Step 6: Final answer
    x = 1,899.05

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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.