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Finding the Fourth Proportional to 3,455.48, 4,768.64 and 1,883.64

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Solution

The fourth proportional to 3,455.48, 4,768.64 and 1,883.64 is: 2,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.48 : 4,768.64 = 1,883.64 : x
  2. Step 2: Convert to fraction form
    3,455.48/4,768.64 = 1,883.64/x
  3. Step 3: Cross multiply
    3,455.48x = 4,768.64 × 1,883.64
  4. Step 4: Simplify right side
    3,455.48x = 8,982,401.05
  5. Step 5: Solve for x
    x = 8,982,401.05/3,455.48
  6. Step 6: Final answer
    x = 2,599.47

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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.