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Finding the Fourth Proportional to 5,188.57, 7,779.71 and 2,069.06

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Solution

The fourth proportional to 5,188.57, 7,779.71 and 2,069.06 is: 3,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.57 : 7,779.71 = 2,069.06 : x
  2. Step 2: Convert to fraction form
    5,188.57/7,779.71 = 2,069.06/x
  3. Step 3: Cross multiply
    5,188.57x = 7,779.71 × 2,069.06
  4. Step 4: Simplify right side
    5,188.57x = 16,096,653.05
  5. Step 5: Solve for x
    x = 16,096,653.05/5,188.57
  6. Step 6: Final answer
    x = 3,102.33

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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.