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Finding the Fourth Proportional to 3,673.12, 5,482.46 and 3,380.26

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Solution

The fourth proportional to 3,673.12, 5,482.46 and 3,380.26 is: 5,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.12 : 5,482.46 = 3,380.26 : x
  2. Step 2: Convert to fraction form
    3,673.12/5,482.46 = 3,380.26/x
  3. Step 3: Cross multiply
    3,673.12x = 5,482.46 × 3,380.26
  4. Step 4: Simplify right side
    3,673.12x = 18,532,140.24
  5. Step 5: Solve for x
    x = 18,532,140.24/3,673.12
  6. Step 6: Final answer
    x = 5,045.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.