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Finding the Fourth Proportional to 3,603.80, 5,405.63 and 1,414.06

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Solution

The fourth proportional to 3,603.80, 5,405.63 and 1,414.06 is: 2,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.80 : 5,405.63 = 1,414.06 : x
  2. Step 2: Convert to fraction form
    3,603.80/5,405.63 = 1,414.06/x
  3. Step 3: Cross multiply
    3,603.80x = 5,405.63 × 1,414.06
  4. Step 4: Simplify right side
    3,603.80x = 7,643,885.16
  5. Step 5: Solve for x
    x = 7,643,885.16/3,603.80
  6. Step 6: Final answer
    x = 2,121.06

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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.