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Finding the Fourth Proportional to 4,097.69, 5,654.81 and 2,329.63

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Solution

The fourth proportional to 4,097.69, 5,654.81 and 2,329.63 is: 3,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.69 : 5,654.81 = 2,329.63 : x
  2. Step 2: Convert to fraction form
    4,097.69/5,654.81 = 2,329.63/x
  3. Step 3: Cross multiply
    4,097.69x = 5,654.81 × 2,329.63
  4. Step 4: Simplify right side
    4,097.69x = 13,173,615.02
  5. Step 5: Solve for x
    x = 13,173,615.02/4,097.69
  6. Step 6: Final answer
    x = 3,214.89

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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.