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Finding the Fourth Proportional to 6,410.26, 8,846.16 and 3,615.76

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Solution

The fourth proportional to 6,410.26, 8,846.16 and 3,615.76 is: 4,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.26 : 8,846.16 = 3,615.76 : x
  2. Step 2: Convert to fraction form
    6,410.26/8,846.16 = 3,615.76/x
  3. Step 3: Cross multiply
    6,410.26x = 8,846.16 × 3,615.76
  4. Step 4: Simplify right side
    6,410.26x = 31,985,591.48
  5. Step 5: Solve for x
    x = 31,985,591.48/6,410.26
  6. Step 6: Final answer
    x = 4,989.75

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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.