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Finding the Fourth Proportional to 3,699.98, 5,106.04 and 2,021.46

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Solution

The fourth proportional to 3,699.98, 5,106.04 and 2,021.46 is: 2,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.98 : 5,106.04 = 2,021.46 : x
  2. Step 2: Convert to fraction form
    3,699.98/5,106.04 = 2,021.46/x
  3. Step 3: Cross multiply
    3,699.98x = 5,106.04 × 2,021.46
  4. Step 4: Simplify right side
    3,699.98x = 10,321,631.42
  5. Step 5: Solve for x
    x = 10,321,631.42/3,699.98
  6. Step 6: Final answer
    x = 2,789.65

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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.