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Finding the Fourth Proportional to 3,999.70, 5,519.64 and 2,298.48

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Solution

The fourth proportional to 3,999.70, 5,519.64 and 2,298.48 is: 3,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.70 : 5,519.64 = 2,298.48 : x
  2. Step 2: Convert to fraction form
    3,999.70/5,519.64 = 2,298.48/x
  3. Step 3: Cross multiply
    3,999.70x = 5,519.64 × 2,298.48
  4. Step 4: Simplify right side
    3,999.70x = 12,686,782.15
  5. Step 5: Solve for x
    x = 12,686,782.15/3,999.70
  6. Step 6: Final answer
    x = 3,171.93

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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.