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Finding the Fourth Proportional to 3,678.51, 5,076.36 and 1,999.92

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Solution

The fourth proportional to 3,678.51, 5,076.36 and 1,999.92 is: 2,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.51 : 5,076.36 = 1,999.92 : x
  2. Step 2: Convert to fraction form
    3,678.51/5,076.36 = 1,999.92/x
  3. Step 3: Cross multiply
    3,678.51x = 5,076.36 × 1,999.92
  4. Step 4: Simplify right side
    3,678.51x = 10,152,303.89
  5. Step 5: Solve for x
    x = 10,152,303.89/3,678.51
  6. Step 6: Final answer
    x = 2,759.90

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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.