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Finding the Fourth Proportional to 3,769.58, 5,202 and 2,090.99

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Solution

The fourth proportional to 3,769.58, 5,202 and 2,090.99 is: 2,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.58 : 5,202 = 2,090.99 : x
  2. Step 2: Convert to fraction form
    3,769.58/5,202 = 2,090.99/x
  3. Step 3: Cross multiply
    3,769.58x = 5,202 × 2,090.99
  4. Step 4: Simplify right side
    3,769.58x = 10,877,329.98
  5. Step 5: Solve for x
    x = 10,877,329.98/3,769.58
  6. Step 6: Final answer
    x = 2,885.55

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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.