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Finding the Fourth Proportional to 3,623.68, 5,427.20 and 1,888

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Solution

The fourth proportional to 3,623.68, 5,427.20 and 1,888 is: 2,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.68 : 5,427.20 = 1,888 : x
  2. Step 2: Convert to fraction form
    3,623.68/5,427.20 = 1,888/x
  3. Step 3: Cross multiply
    3,623.68x = 5,427.20 × 1,888
  4. Step 4: Simplify right side
    3,623.68x = 10,246,553.60
  5. Step 5: Solve for x
    x = 10,246,553.60/3,623.68
  6. Step 6: Final answer
    x = 2,827.67

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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.