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Finding the Fourth Proportional to 3,601.88, 5,405.26 and 1,410.34

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Solution

The fourth proportional to 3,601.88, 5,405.26 and 1,410.34 is: 2,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.88 : 5,405.26 = 1,410.34 : x
  2. Step 2: Convert to fraction form
    3,601.88/5,405.26 = 1,410.34/x
  3. Step 3: Cross multiply
    3,601.88x = 5,405.26 × 1,410.34
  4. Step 4: Simplify right side
    3,601.88x = 7,623,242.34
  5. Step 5: Solve for x
    x = 7,623,242.34/3,601.88
  6. Step 6: Final answer
    x = 2,116.46

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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.