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Finding the Fourth Proportional to 3,502.64, 4,833.46 and 1,930.44

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Solution

The fourth proportional to 3,502.64, 4,833.46 and 1,930.44 is: 2,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.64 : 4,833.46 = 1,930.44 : x
  2. Step 2: Convert to fraction form
    3,502.64/4,833.46 = 1,930.44/x
  3. Step 3: Cross multiply
    3,502.64x = 4,833.46 × 1,930.44
  4. Step 4: Simplify right side
    3,502.64x = 9,330,704.52
  5. Step 5: Solve for x
    x = 9,330,704.52/3,502.64
  6. Step 6: Final answer
    x = 2,663.91

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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.