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Finding the Fourth Proportional to 3,455.34, 4,768.46 and 1,883.53

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Solution

The fourth proportional to 3,455.34, 4,768.46 and 1,883.53 is: 2,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.34 : 4,768.46 = 1,883.53 : x
  2. Step 2: Convert to fraction form
    3,455.34/4,768.46 = 1,883.53/x
  3. Step 3: Cross multiply
    3,455.34x = 4,768.46 × 1,883.53
  4. Step 4: Simplify right side
    3,455.34x = 8,981,537.46
  5. Step 5: Solve for x
    x = 8,981,537.46/3,455.34
  6. Step 6: Final answer
    x = 2,599.32

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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.