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Finding the Fourth Proportional to 3,677.65, 5,074.68 and 2,084.11

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Solution

The fourth proportional to 3,677.65, 5,074.68 and 2,084.11 is: 2,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.65 : 5,074.68 = 2,084.11 : x
  2. Step 2: Convert to fraction form
    3,677.65/5,074.68 = 2,084.11/x
  3. Step 3: Cross multiply
    3,677.65x = 5,074.68 × 2,084.11
  4. Step 4: Simplify right side
    3,677.65x = 10,576,191.33
  5. Step 5: Solve for x
    x = 10,576,191.33/3,677.65
  6. Step 6: Final answer
    x = 2,875.80

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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.