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Finding the Fourth Proportional to 5,196.96, 7,796.58 and 1,909.98

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Solution

The fourth proportional to 5,196.96, 7,796.58 and 1,909.98 is: 2,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.96 : 7,796.58 = 1,909.98 : x
  2. Step 2: Convert to fraction form
    5,196.96/7,796.58 = 1,909.98/x
  3. Step 3: Cross multiply
    5,196.96x = 7,796.58 × 1,909.98
  4. Step 4: Simplify right side
    5,196.96x = 14,891,311.87
  5. Step 5: Solve for x
    x = 14,891,311.87/5,196.96
  6. Step 6: Final answer
    x = 2,865.39

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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.