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Finding the Fourth Proportional to 5,191.95, 7,783.15 and 2,071.21

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Solution

The fourth proportional to 5,191.95, 7,783.15 and 2,071.21 is: 3,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.95 : 7,783.15 = 2,071.21 : x
  2. Step 2: Convert to fraction form
    5,191.95/7,783.15 = 2,071.21/x
  3. Step 3: Cross multiply
    5,191.95x = 7,783.15 × 2,071.21
  4. Step 4: Simplify right side
    5,191.95x = 16,120,538.11
  5. Step 5: Solve for x
    x = 16,120,538.11/5,191.95
  6. Step 6: Final answer
    x = 3,104.91

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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.