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Finding the Fourth Proportional to 5,196.40, 7,793.76 and 1,907.80

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Solution

The fourth proportional to 5,196.40, 7,793.76 and 1,907.80 is: 2,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.40 : 7,793.76 = 1,907.80 : x
  2. Step 2: Convert to fraction form
    5,196.40/7,793.76 = 1,907.80/x
  3. Step 3: Cross multiply
    5,196.40x = 7,793.76 × 1,907.80
  4. Step 4: Simplify right side
    5,196.40x = 14,868,935.33
  5. Step 5: Solve for x
    x = 14,868,935.33/5,196.40
  6. Step 6: Final answer
    x = 2,861.39

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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.