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Finding the Fourth Proportional to 3,718.12, 5,100.89 and 3,482.60

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Solution

The fourth proportional to 3,718.12, 5,100.89 and 3,482.60 is: 4,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.12 : 5,100.89 = 3,482.60 : x
  2. Step 2: Convert to fraction form
    3,718.12/5,100.89 = 3,482.60/x
  3. Step 3: Cross multiply
    3,718.12x = 5,100.89 × 3,482.60
  4. Step 4: Simplify right side
    3,718.12x = 17,764,359.51
  5. Step 5: Solve for x
    x = 17,764,359.51/3,718.12
  6. Step 6: Final answer
    x = 4,777.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.