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Finding the Fourth Proportional to 4,945.96, 6,830.68 and 3,359.68

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Solution

The fourth proportional to 4,945.96, 6,830.68 and 3,359.68 is: 4,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.96 : 6,830.68 = 3,359.68 : x
  2. Step 2: Convert to fraction form
    4,945.96/6,830.68 = 3,359.68/x
  3. Step 3: Cross multiply
    4,945.96x = 6,830.68 × 3,359.68
  4. Step 4: Simplify right side
    4,945.96x = 22,948,879.81
  5. Step 5: Solve for x
    x = 22,948,879.81/4,945.96
  6. Step 6: Final answer
    x = 4,639.92

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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.