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Finding the Fourth Proportional to 3,625.76, 5,440.32 and 1,546.40

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Solution

The fourth proportional to 3,625.76, 5,440.32 and 1,546.40 is: 2,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.76 : 5,440.32 = 1,546.40 : x
  2. Step 2: Convert to fraction form
    3,625.76/5,440.32 = 1,546.40/x
  3. Step 3: Cross multiply
    3,625.76x = 5,440.32 × 1,546.40
  4. Step 4: Simplify right side
    3,625.76x = 8,412,910.85
  5. Step 5: Solve for x
    x = 8,412,910.85/3,625.76
  6. Step 6: Final answer
    x = 2,320.32

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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.