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Finding the Fourth Proportional to 5,620.88, 8,431.64 and 3,153.76

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Solution

The fourth proportional to 5,620.88, 8,431.64 and 3,153.76 is: 4,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.88 : 8,431.64 = 3,153.76 : x
  2. Step 2: Convert to fraction form
    5,620.88/8,431.64 = 3,153.76/x
  3. Step 3: Cross multiply
    5,620.88x = 8,431.64 × 3,153.76
  4. Step 4: Simplify right side
    5,620.88x = 26,591,368.97
  5. Step 5: Solve for x
    x = 26,591,368.97/5,620.88
  6. Step 6: Final answer
    x = 4,730.82

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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.