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Finding the Fourth Proportional to 5,287.09, 7,930.98 and 1,777.44

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Solution

The fourth proportional to 5,287.09, 7,930.98 and 1,777.44 is: 2,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.09 : 7,930.98 = 1,777.44 : x
  2. Step 2: Convert to fraction form
    5,287.09/7,930.98 = 1,777.44/x
  3. Step 3: Cross multiply
    5,287.09x = 7,930.98 × 1,777.44
  4. Step 4: Simplify right side
    5,287.09x = 14,096,841.09
  5. Step 5: Solve for x
    x = 14,096,841.09/5,287.09
  6. Step 6: Final answer
    x = 2,666.28

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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.