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Finding the Fourth Proportional to 4,205.79, 6,308.21 and 1,085.67

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Solution

The fourth proportional to 4,205.79, 6,308.21 and 1,085.67 is: 1,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.79 : 6,308.21 = 1,085.67 : x
  2. Step 2: Convert to fraction form
    4,205.79/6,308.21 = 1,085.67/x
  3. Step 3: Cross multiply
    4,205.79x = 6,308.21 × 1,085.67
  4. Step 4: Simplify right side
    4,205.79x = 6,848,637.06
  5. Step 5: Solve for x
    x = 6,848,637.06/4,205.79
  6. Step 6: Final answer
    x = 1,628.38

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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.