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Finding the Fourth Proportional to 3,775.40, 5,663.10 and 2,522.60

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Solution

The fourth proportional to 3,775.40, 5,663.10 and 2,522.60 is: 3,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.40 : 5,663.10 = 2,522.60 : x
  2. Step 2: Convert to fraction form
    3,775.40/5,663.10 = 2,522.60/x
  3. Step 3: Cross multiply
    3,775.40x = 5,663.10 × 2,522.60
  4. Step 4: Simplify right side
    3,775.40x = 14,285,736.06
  5. Step 5: Solve for x
    x = 14,285,736.06/3,775.40
  6. Step 6: Final answer
    x = 3,783.90

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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.