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Finding the Fourth Proportional to 5,189.73, 7,779.51 and 2,068.80

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Solution

The fourth proportional to 5,189.73, 7,779.51 and 2,068.80 is: 3,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.73 : 7,779.51 = 2,068.80 : x
  2. Step 2: Convert to fraction form
    5,189.73/7,779.51 = 2,068.80/x
  3. Step 3: Cross multiply
    5,189.73x = 7,779.51 × 2,068.80
  4. Step 4: Simplify right side
    5,189.73x = 16,094,250.29
  5. Step 5: Solve for x
    x = 16,094,250.29/5,189.73
  6. Step 6: Final answer
    x = 3,101.17

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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.