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Finding the Fourth Proportional to 3,677.33, 5,074.65 and 2,083.86

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Solution

The fourth proportional to 3,677.33, 5,074.65 and 2,083.86 is: 2,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.33 : 5,074.65 = 2,083.86 : x
  2. Step 2: Convert to fraction form
    3,677.33/5,074.65 = 2,083.86/x
  3. Step 3: Cross multiply
    3,677.33x = 5,074.65 × 2,083.86
  4. Step 4: Simplify right side
    3,677.33x = 10,574,860.15
  5. Step 5: Solve for x
    x = 10,574,860.15/3,677.33
  6. Step 6: Final answer
    x = 2,875.69

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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.