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Finding the Fourth Proportional to 3,762.94, 5,195.37 and 2,883.34

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Solution

The fourth proportional to 3,762.94, 5,195.37 and 2,883.34 is: 3,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.94 : 5,195.37 = 2,883.34 : x
  2. Step 2: Convert to fraction form
    3,762.94/5,195.37 = 2,883.34/x
  3. Step 3: Cross multiply
    3,762.94x = 5,195.37 × 2,883.34
  4. Step 4: Simplify right side
    3,762.94x = 14,980,018.14
  5. Step 5: Solve for x
    x = 14,980,018.14/3,762.94
  6. Step 6: Final answer
    x = 3,980.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.