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Finding the Fourth Proportional to 3,635.80, 5,445 and 2,245.36

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Solution

The fourth proportional to 3,635.80, 5,445 and 2,245.36 is: 3,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.80 : 5,445 = 2,245.36 : x
  2. Step 2: Convert to fraction form
    3,635.80/5,445 = 2,245.36/x
  3. Step 3: Cross multiply
    3,635.80x = 5,445 × 2,245.36
  4. Step 4: Simplify right side
    3,635.80x = 12,225,985.20
  5. Step 5: Solve for x
    x = 12,225,985.20/3,635.80
  6. Step 6: Final answer
    x = 3,362.67

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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.