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Finding the Fourth Proportional to 3,355.64, 4,622.09 and 2,823.87

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Solution

The fourth proportional to 3,355.64, 4,622.09 and 2,823.87 is: 3,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.64 : 4,622.09 = 2,823.87 : x
  2. Step 2: Convert to fraction form
    3,355.64/4,622.09 = 2,823.87/x
  3. Step 3: Cross multiply
    3,355.64x = 4,622.09 × 2,823.87
  4. Step 4: Simplify right side
    3,355.64x = 13,052,167.17
  5. Step 5: Solve for x
    x = 13,052,167.17/3,355.64
  6. Step 6: Final answer
    x = 3,889.63

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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.