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Finding the Fourth Proportional to 5,336.69, 7,364.73 and 3,097.75

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Solution

The fourth proportional to 5,336.69, 7,364.73 and 3,097.75 is: 4,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.69 : 7,364.73 = 3,097.75 : x
  2. Step 2: Convert to fraction form
    5,336.69/7,364.73 = 3,097.75/x
  3. Step 3: Cross multiply
    5,336.69x = 7,364.73 × 3,097.75
  4. Step 4: Simplify right side
    5,336.69x = 22,814,073.95
  5. Step 5: Solve for x
    x = 22,814,073.95/5,336.69
  6. Step 6: Final answer
    x = 4,274.95

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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.