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Finding the Fourth Proportional to 5,196.41, 7,792.79 and 1,497.65

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Solution

The fourth proportional to 5,196.41, 7,792.79 and 1,497.65 is: 2,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.41 : 7,792.79 = 1,497.65 : x
  2. Step 2: Convert to fraction form
    5,196.41/7,792.79 = 1,497.65/x
  3. Step 3: Cross multiply
    5,196.41x = 7,792.79 × 1,497.65
  4. Step 4: Simplify right side
    5,196.41x = 11,670,836.72
  5. Step 5: Solve for x
    x = 11,670,836.72/5,196.41
  6. Step 6: Final answer
    x = 2,245.94

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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.