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Finding the Fourth Proportional to 3,674.95, 5,513.40 and 1,920.83

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Solution

The fourth proportional to 3,674.95, 5,513.40 and 1,920.83 is: 2,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.95 : 5,513.40 = 1,920.83 : x
  2. Step 2: Convert to fraction form
    3,674.95/5,513.40 = 1,920.83/x
  3. Step 3: Cross multiply
    3,674.95x = 5,513.40 × 1,920.83
  4. Step 4: Simplify right side
    3,674.95x = 10,590,276.56
  5. Step 5: Solve for x
    x = 10,590,276.56/3,674.95
  6. Step 6: Final answer
    x = 2,881.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.