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Finding the Fourth Proportional to 3,482.25, 5,216.42 and 2,094.83

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Solution

The fourth proportional to 3,482.25, 5,216.42 and 2,094.83 is: 3,138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.25 : 5,216.42 = 2,094.83 : x
  2. Step 2: Convert to fraction form
    3,482.25/5,216.42 = 2,094.83/x
  3. Step 3: Cross multiply
    3,482.25x = 5,216.42 × 2,094.83
  4. Step 4: Simplify right side
    3,482.25x = 10,927,513.11
  5. Step 5: Solve for x
    x = 10,927,513.11/3,482.25
  6. Step 6: Final answer
    x = 3,138.06

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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.