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Finding the Fourth Proportional to 4,308.33, 5,945.16 and 2,419.65

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Solution

The fourth proportional to 4,308.33, 5,945.16 and 2,419.65 is: 3,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.33 : 5,945.16 = 2,419.65 : x
  2. Step 2: Convert to fraction form
    4,308.33/5,945.16 = 2,419.65/x
  3. Step 3: Cross multiply
    4,308.33x = 5,945.16 × 2,419.65
  4. Step 4: Simplify right side
    4,308.33x = 14,385,206.39
  5. Step 5: Solve for x
    x = 14,385,206.39/4,308.33
  6. Step 6: Final answer
    x = 3,338.93

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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.