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Finding the Fourth Proportional to 5,187.36, 7,777.44 and 1,900

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Solution

The fourth proportional to 5,187.36, 7,777.44 and 1,900 is: 2,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.36 : 7,777.44 = 1,900 : x
  2. Step 2: Convert to fraction form
    5,187.36/7,777.44 = 1,900/x
  3. Step 3: Cross multiply
    5,187.36x = 7,777.44 × 1,900
  4. Step 4: Simplify right side
    5,187.36x = 14,777,136
  5. Step 5: Solve for x
    x = 14,777,136/5,187.36
  6. Step 6: Final answer
    x = 2,848.68

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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.