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Finding the Fourth Proportional to 3,564.08, 5,342.36 and 1,223.36

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Solution

The fourth proportional to 3,564.08, 5,342.36 and 1,223.36 is: 1,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.08 : 5,342.36 = 1,223.36 : x
  2. Step 2: Convert to fraction form
    3,564.08/5,342.36 = 1,223.36/x
  3. Step 3: Cross multiply
    3,564.08x = 5,342.36 × 1,223.36
  4. Step 4: Simplify right side
    3,564.08x = 6,535,629.53
  5. Step 5: Solve for x
    x = 6,535,629.53/3,564.08
  6. Step 6: Final answer
    x = 1,833.75

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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.