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Finding the Fourth Proportional to 3,762.54, 5,192.46 and 2,505.96

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Solution

The fourth proportional to 3,762.54, 5,192.46 and 2,505.96 is: 3,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.54 : 5,192.46 = 2,505.96 : x
  2. Step 2: Convert to fraction form
    3,762.54/5,192.46 = 2,505.96/x
  3. Step 3: Cross multiply
    3,762.54x = 5,192.46 × 2,505.96
  4. Step 4: Simplify right side
    3,762.54x = 13,012,097.06
  5. Step 5: Solve for x
    x = 13,012,097.06/3,762.54
  6. Step 6: Final answer
    x = 3,458.33

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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.