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Finding the Fourth Proportional to 6,410.32, 8,846.47 and 3,721.33

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Solution

The fourth proportional to 6,410.32, 8,846.47 and 3,721.33 is: 5,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.32 : 8,846.47 = 3,721.33 : x
  2. Step 2: Convert to fraction form
    6,410.32/8,846.47 = 3,721.33/x
  3. Step 3: Cross multiply
    6,410.32x = 8,846.47 × 3,721.33
  4. Step 4: Simplify right side
    6,410.32x = 32,920,628.98
  5. Step 5: Solve for x
    x = 32,920,628.98/6,410.32
  6. Step 6: Final answer
    x = 5,135.57

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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.