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Finding the Fourth Proportional to 6,410.71, 8,846.31 and 3,538.86

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Solution

The fourth proportional to 6,410.71, 8,846.31 and 3,538.86 is: 4,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.71 : 8,846.31 = 3,538.86 : x
  2. Step 2: Convert to fraction form
    6,410.71/8,846.31 = 3,538.86/x
  3. Step 3: Cross multiply
    6,410.71x = 8,846.31 × 3,538.86
  4. Step 4: Simplify right side
    6,410.71x = 31,305,852.61
  5. Step 5: Solve for x
    x = 31,305,852.61/6,410.71
  6. Step 6: Final answer
    x = 4,883.37

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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.