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Finding the Fourth Proportional to 3,643.35, 5,469.36 and 3,494.81

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Solution

The fourth proportional to 3,643.35, 5,469.36 and 3,494.81 is: 5,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.35 : 5,469.36 = 3,494.81 : x
  2. Step 2: Convert to fraction form
    3,643.35/5,469.36 = 3,494.81/x
  3. Step 3: Cross multiply
    3,643.35x = 5,469.36 × 3,494.81
  4. Step 4: Simplify right side
    3,643.35x = 19,114,374.02
  5. Step 5: Solve for x
    x = 19,114,374.02/3,643.35
  6. Step 6: Final answer
    x = 5,246.37

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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.