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Finding the Fourth Proportional to 4,201.16, 6,300.97 and 1,238.99

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Solution

The fourth proportional to 4,201.16, 6,300.97 and 1,238.99 is: 1,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.16 : 6,300.97 = 1,238.99 : x
  2. Step 2: Convert to fraction form
    4,201.16/6,300.97 = 1,238.99/x
  3. Step 3: Cross multiply
    4,201.16x = 6,300.97 × 1,238.99
  4. Step 4: Simplify right side
    4,201.16x = 7,806,823.07
  5. Step 5: Solve for x
    x = 7,806,823.07/4,201.16
  6. Step 6: Final answer
    x = 1,858.26

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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.