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Finding the Fourth Proportional to 3,451.88, 5,176.90 and 1,503.64

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Solution

The fourth proportional to 3,451.88, 5,176.90 and 1,503.64 is: 2,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.88 : 5,176.90 = 1,503.64 : x
  2. Step 2: Convert to fraction form
    3,451.88/5,176.90 = 1,503.64/x
  3. Step 3: Cross multiply
    3,451.88x = 5,176.90 × 1,503.64
  4. Step 4: Simplify right side
    3,451.88x = 7,784,193.92
  5. Step 5: Solve for x
    x = 7,784,193.92/3,451.88
  6. Step 6: Final answer
    x = 2,255.06

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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.