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Finding the Fourth Proportional to 3,455.74, 4,768.91 and 1,883.84

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Solution

The fourth proportional to 3,455.74, 4,768.91 and 1,883.84 is: 2,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.74 : 4,768.91 = 1,883.84 : x
  2. Step 2: Convert to fraction form
    3,455.74/4,768.91 = 1,883.84/x
  3. Step 3: Cross multiply
    3,455.74x = 4,768.91 × 1,883.84
  4. Step 4: Simplify right side
    3,455.74x = 8,983,844.28
  5. Step 5: Solve for x
    x = 8,983,844.28/3,455.74
  6. Step 6: Final answer
    x = 2,599.69

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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.