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Finding the Fourth Proportional to 3,409.09, 5,113.61 and 1,069.27

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Solution

The fourth proportional to 3,409.09, 5,113.61 and 1,069.27 is: 1,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.09 : 5,113.61 = 1,069.27 : x
  2. Step 2: Convert to fraction form
    3,409.09/5,113.61 = 1,069.27/x
  3. Step 3: Cross multiply
    3,409.09x = 5,113.61 × 1,069.27
  4. Step 4: Simplify right side
    3,409.09x = 5,467,829.76
  5. Step 5: Solve for x
    x = 5,467,829.76/3,409.09
  6. Step 6: Final answer
    x = 1,603.90

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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.