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Finding the Fourth Proportional to 5,185.98, 7,778.96 and 1,290.38

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Solution

The fourth proportional to 5,185.98, 7,778.96 and 1,290.38 is: 1,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.98 : 7,778.96 = 1,290.38 : x
  2. Step 2: Convert to fraction form
    5,185.98/7,778.96 = 1,290.38/x
  3. Step 3: Cross multiply
    5,185.98x = 7,778.96 × 1,290.38
  4. Step 4: Simplify right side
    5,185.98x = 10,037,814.40
  5. Step 5: Solve for x
    x = 10,037,814.40/5,185.98
  6. Step 6: Final answer
    x = 1,935.57

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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.