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Finding the Fourth Proportional to 3,502.18, 4,833 and 1,930.28

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Solution

The fourth proportional to 3,502.18, 4,833 and 1,930.28 is: 2,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.18 : 4,833 = 1,930.28 : x
  2. Step 2: Convert to fraction form
    3,502.18/4,833 = 1,930.28/x
  3. Step 3: Cross multiply
    3,502.18x = 4,833 × 1,930.28
  4. Step 4: Simplify right side
    3,502.18x = 9,329,043.24
  5. Step 5: Solve for x
    x = 9,329,043.24/3,502.18
  6. Step 6: Final answer
    x = 2,663.78

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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.