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Finding the Fourth Proportional to 4,307.91, 5,945.02 and 2,419.49

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Solution

The fourth proportional to 4,307.91, 5,945.02 and 2,419.49 is: 3,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.91 : 5,945.02 = 2,419.49 : x
  2. Step 2: Convert to fraction form
    4,307.91/5,945.02 = 2,419.49/x
  3. Step 3: Cross multiply
    4,307.91x = 5,945.02 × 2,419.49
  4. Step 4: Simplify right side
    4,307.91x = 14,383,929.66
  5. Step 5: Solve for x
    x = 14,383,929.66/4,307.91
  6. Step 6: Final answer
    x = 3,338.96

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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.