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Finding the Fourth Proportional to 3,334.60, 5,005.13 and 1,604.44

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Solution

The fourth proportional to 3,334.60, 5,005.13 and 1,604.44 is: 2,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.60 : 5,005.13 = 1,604.44 : x
  2. Step 2: Convert to fraction form
    3,334.60/5,005.13 = 1,604.44/x
  3. Step 3: Cross multiply
    3,334.60x = 5,005.13 × 1,604.44
  4. Step 4: Simplify right side
    3,334.60x = 8,030,430.78
  5. Step 5: Solve for x
    x = 8,030,430.78/3,334.60
  6. Step 6: Final answer
    x = 2,408.21

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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.