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Finding the Fourth Proportional to 3,884.02, 5,360.36 and 3,401.06

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Solution

The fourth proportional to 3,884.02, 5,360.36 and 3,401.06 is: 4,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.02 : 5,360.36 = 3,401.06 : x
  2. Step 2: Convert to fraction form
    3,884.02/5,360.36 = 3,401.06/x
  3. Step 3: Cross multiply
    3,884.02x = 5,360.36 × 3,401.06
  4. Step 4: Simplify right side
    3,884.02x = 18,230,905.98
  5. Step 5: Solve for x
    x = 18,230,905.98/3,884.02
  6. Step 6: Final answer
    x = 4,693.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.