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Finding the Fourth Proportional to 3,455.34, 4,768.38 and 1,883.43

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Solution

The fourth proportional to 3,455.34, 4,768.38 and 1,883.43 is: 2,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.34 : 4,768.38 = 1,883.43 : x
  2. Step 2: Convert to fraction form
    3,455.34/4,768.38 = 1,883.43/x
  3. Step 3: Cross multiply
    3,455.34x = 4,768.38 × 1,883.43
  4. Step 4: Simplify right side
    3,455.34x = 8,980,909.94
  5. Step 5: Solve for x
    x = 8,980,909.94/3,455.34
  6. Step 6: Final answer
    x = 2,599.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.