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Finding the Fourth Proportional to 3,646.90, 5,474.40 and 2,261.80

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Solution

The fourth proportional to 3,646.90, 5,474.40 and 2,261.80 is: 3,395.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.90 : 5,474.40 = 2,261.80 : x
  2. Step 2: Convert to fraction form
    3,646.90/5,474.40 = 2,261.80/x
  3. Step 3: Cross multiply
    3,646.90x = 5,474.40 × 2,261.80
  4. Step 4: Simplify right side
    3,646.90x = 12,381,997.92
  5. Step 5: Solve for x
    x = 12,381,997.92/3,646.90
  6. Step 6: Final answer
    x = 3,395.21

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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.