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Finding the Fourth Proportional to 3,428.75, 5,138.21 and 1,865.35

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Solution

The fourth proportional to 3,428.75, 5,138.21 and 1,865.35 is: 2,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.75 : 5,138.21 = 1,865.35 : x
  2. Step 2: Convert to fraction form
    3,428.75/5,138.21 = 1,865.35/x
  3. Step 3: Cross multiply
    3,428.75x = 5,138.21 × 1,865.35
  4. Step 4: Simplify right side
    3,428.75x = 9,584,525.01
  5. Step 5: Solve for x
    x = 9,584,525.01/3,428.75
  6. Step 6: Final answer
    x = 2,795.34

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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.