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Finding the Fourth Proportional to 4,201.35, 6,303.06 and 1,736.87

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Solution

The fourth proportional to 4,201.35, 6,303.06 and 1,736.87 is: 2,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.35 : 6,303.06 = 1,736.87 : x
  2. Step 2: Convert to fraction form
    4,201.35/6,303.06 = 1,736.87/x
  3. Step 3: Cross multiply
    4,201.35x = 6,303.06 × 1,736.87
  4. Step 4: Simplify right side
    4,201.35x = 10,947,587.14
  5. Step 5: Solve for x
    x = 10,947,587.14/4,201.35
  6. Step 6: Final answer
    x = 2,605.73

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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.