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Finding the Fourth Proportional to 5,196.37, 7,794.57 and 1,300.81

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Solution

The fourth proportional to 5,196.37, 7,794.57 and 1,300.81 is: 1,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.37 : 7,794.57 = 1,300.81 : x
  2. Step 2: Convert to fraction form
    5,196.37/7,794.57 = 1,300.81/x
  3. Step 3: Cross multiply
    5,196.37x = 7,794.57 × 1,300.81
  4. Step 4: Simplify right side
    5,196.37x = 10,139,254.60
  5. Step 5: Solve for x
    x = 10,139,254.60/5,196.37
  6. Step 6: Final answer
    x = 1,951.22

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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.