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Finding the Fourth Proportional to 5,194.74, 7,790.28 and 1,495.98

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Solution

The fourth proportional to 5,194.74, 7,790.28 and 1,495.98 is: 2,243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.74 : 7,790.28 = 1,495.98 : x
  2. Step 2: Convert to fraction form
    5,194.74/7,790.28 = 1,495.98/x
  3. Step 3: Cross multiply
    5,194.74x = 7,790.28 × 1,495.98
  4. Step 4: Simplify right side
    5,194.74x = 11,654,103.07
  5. Step 5: Solve for x
    x = 11,654,103.07/5,194.74
  6. Step 6: Final answer
    x = 2,243.44

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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.