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Finding the Fourth Proportional to 4,097.94, 5,655.17 and 2,329.14

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Solution

The fourth proportional to 4,097.94, 5,655.17 and 2,329.14 is: 3,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.94 : 5,655.17 = 2,329.14 : x
  2. Step 2: Convert to fraction form
    4,097.94/5,655.17 = 2,329.14/x
  3. Step 3: Cross multiply
    4,097.94x = 5,655.17 × 2,329.14
  4. Step 4: Simplify right side
    4,097.94x = 13,171,682.65
  5. Step 5: Solve for x
    x = 13,171,682.65/4,097.94
  6. Step 6: Final answer
    x = 3,214.22

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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.