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Finding the Fourth Proportional to 3,388.40, 5,083.82 and 1,538.08

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Solution

The fourth proportional to 3,388.40, 5,083.82 and 1,538.08 is: 2,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.40 : 5,083.82 = 1,538.08 : x
  2. Step 2: Convert to fraction form
    3,388.40/5,083.82 = 1,538.08/x
  3. Step 3: Cross multiply
    3,388.40x = 5,083.82 × 1,538.08
  4. Step 4: Simplify right side
    3,388.40x = 7,819,321.87
  5. Step 5: Solve for x
    x = 7,819,321.87/3,388.40
  6. Step 6: Final answer
    x = 2,307.67

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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.