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Finding the Fourth Proportional to 3,641.80, 5,462.73 and 2,259.16

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Solution

The fourth proportional to 3,641.80, 5,462.73 and 2,259.16 is: 3,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.80 : 5,462.73 = 2,259.16 : x
  2. Step 2: Convert to fraction form
    3,641.80/5,462.73 = 2,259.16/x
  3. Step 3: Cross multiply
    3,641.80x = 5,462.73 × 2,259.16
  4. Step 4: Simplify right side
    3,641.80x = 12,341,181.11
  5. Step 5: Solve for x
    x = 12,341,181.11/3,641.80
  6. Step 6: Final answer
    x = 3,388.76

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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.