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Finding the Fourth Proportional to 5,196.23, 7,794.36 and 1,300.64

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Solution

The fourth proportional to 5,196.23, 7,794.36 and 1,300.64 is: 1,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.23 : 7,794.36 = 1,300.64 : x
  2. Step 2: Convert to fraction form
    5,196.23/7,794.36 = 1,300.64/x
  3. Step 3: Cross multiply
    5,196.23x = 7,794.36 × 1,300.64
  4. Step 4: Simplify right side
    5,196.23x = 10,137,617.42
  5. Step 5: Solve for x
    x = 10,137,617.42/5,196.23
  6. Step 6: Final answer
    x = 1,950.96

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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.