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Finding the Fourth Proportional to 3,407.88, 5,107.23 and 1,558.03

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Solution

The fourth proportional to 3,407.88, 5,107.23 and 1,558.03 is: 2,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.88 : 5,107.23 = 1,558.03 : x
  2. Step 2: Convert to fraction form
    3,407.88/5,107.23 = 1,558.03/x
  3. Step 3: Cross multiply
    3,407.88x = 5,107.23 × 1,558.03
  4. Step 4: Simplify right side
    3,407.88x = 7,957,217.56
  5. Step 5: Solve for x
    x = 7,957,217.56/3,407.88
  6. Step 6: Final answer
    x = 2,334.95

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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.