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Finding the Fourth Proportional to 3,564.35, 5,344.48 and 1,372.80

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Solution

The fourth proportional to 3,564.35, 5,344.48 and 1,372.80 is: 2,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.35 : 5,344.48 = 1,372.80 : x
  2. Step 2: Convert to fraction form
    3,564.35/5,344.48 = 1,372.80/x
  3. Step 3: Cross multiply
    3,564.35x = 5,344.48 × 1,372.80
  4. Step 4: Simplify right side
    3,564.35x = 7,336,893.84
  5. Step 5: Solve for x
    x = 7,336,893.84/3,564.35
  6. Step 6: Final answer
    x = 2,058.41

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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.