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Finding the Fourth Proportional to 4,097.57, 6,135.42 and 2,145.68

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Solution

The fourth proportional to 4,097.57, 6,135.42 and 2,145.68 is: 3,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.57 : 6,135.42 = 2,145.68 : x
  2. Step 2: Convert to fraction form
    4,097.57/6,135.42 = 2,145.68/x
  3. Step 3: Cross multiply
    4,097.57x = 6,135.42 × 2,145.68
  4. Step 4: Simplify right side
    4,097.57x = 13,164,617.31
  5. Step 5: Solve for x
    x = 13,164,617.31/4,097.57
  6. Step 6: Final answer
    x = 3,212.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.