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Finding the Fourth Proportional to 6,139.21, 8,468.47 and 3,899.24

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Solution

The fourth proportional to 6,139.21, 8,468.47 and 3,899.24 is: 5,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.21 : 8,468.47 = 3,899.24 : x
  2. Step 2: Convert to fraction form
    6,139.21/8,468.47 = 3,899.24/x
  3. Step 3: Cross multiply
    6,139.21x = 8,468.47 × 3,899.24
  4. Step 4: Simplify right side
    6,139.21x = 33,020,602.22
  5. Step 5: Solve for x
    x = 33,020,602.22/6,139.21
  6. Step 6: Final answer
    x = 5,378.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.