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Finding the Fourth Proportional to 4,097.67, 5,653.58 and 2,419.22

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Solution

The fourth proportional to 4,097.67, 5,653.58 and 2,419.22 is: 3,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.67 : 5,653.58 = 2,419.22 : x
  2. Step 2: Convert to fraction form
    4,097.67/5,653.58 = 2,419.22/x
  3. Step 3: Cross multiply
    4,097.67x = 5,653.58 × 2,419.22
  4. Step 4: Simplify right side
    4,097.67x = 13,677,213.44
  5. Step 5: Solve for x
    x = 13,677,213.44/4,097.67
  6. Step 6: Final answer
    x = 3,337.80

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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.