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Finding the Fourth Proportional to 4,208.70, 6,307.65 and 1,745.22

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Solution

The fourth proportional to 4,208.70, 6,307.65 and 1,745.22 is: 2,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.70 : 6,307.65 = 1,745.22 : x
  2. Step 2: Convert to fraction form
    4,208.70/6,307.65 = 1,745.22/x
  3. Step 3: Cross multiply
    4,208.70x = 6,307.65 × 1,745.22
  4. Step 4: Simplify right side
    4,208.70x = 11,008,236.93
  5. Step 5: Solve for x
    x = 11,008,236.93/4,208.70
  6. Step 6: Final answer
    x = 2,615.59

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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.