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Finding the Fourth Proportional to 5,196.72, 7,795.77 and 1,909.86

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Solution

The fourth proportional to 5,196.72, 7,795.77 and 1,909.86 is: 2,865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.72 : 7,795.77 = 1,909.86 : x
  2. Step 2: Convert to fraction form
    5,196.72/7,795.77 = 1,909.86/x
  3. Step 3: Cross multiply
    5,196.72x = 7,795.77 × 1,909.86
  4. Step 4: Simplify right side
    5,196.72x = 14,888,829.29
  5. Step 5: Solve for x
    x = 14,888,829.29/5,196.72
  6. Step 6: Final answer
    x = 2,865.04

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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.