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Finding the Fourth Proportional to 3,455.77, 4,767.44 and 2,336.30

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Solution

The fourth proportional to 3,455.77, 4,767.44 and 2,336.30 is: 3,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.77 : 4,767.44 = 2,336.30 : x
  2. Step 2: Convert to fraction form
    3,455.77/4,767.44 = 2,336.30/x
  3. Step 3: Cross multiply
    3,455.77x = 4,767.44 × 2,336.30
  4. Step 4: Simplify right side
    3,455.77x = 11,138,169.95
  5. Step 5: Solve for x
    x = 11,138,169.95/3,455.77
  6. Step 6: Final answer
    x = 3,223.07

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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.