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Finding the Fourth Proportional to 5,097.75, 7,046.67 and 4,253.54

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Solution

The fourth proportional to 5,097.75, 7,046.67 and 4,253.54 is: 5,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.75 : 7,046.67 = 4,253.54 : x
  2. Step 2: Convert to fraction form
    5,097.75/7,046.67 = 4,253.54/x
  3. Step 3: Cross multiply
    5,097.75x = 7,046.67 × 4,253.54
  4. Step 4: Simplify right side
    5,097.75x = 29,973,292.71
  5. Step 5: Solve for x
    x = 29,973,292.71/5,097.75
  6. Step 6: Final answer
    x = 5,879.71

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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.