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Finding the Fourth Proportional to 6,410.62, 8,846.35 and 3,577.83

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Solution

The fourth proportional to 6,410.62, 8,846.35 and 3,577.83 is: 4,937.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.62 : 8,846.35 = 3,577.83 : x
  2. Step 2: Convert to fraction form
    6,410.62/8,846.35 = 3,577.83/x
  3. Step 3: Cross multiply
    6,410.62x = 8,846.35 × 3,577.83
  4. Step 4: Simplify right side
    6,410.62x = 31,650,736.42
  5. Step 5: Solve for x
    x = 31,650,736.42/6,410.62
  6. Step 6: Final answer
    x = 4,937.23

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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.