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Finding the Fourth Proportional to 5,573.76, 8,361.60 and 1,677.84

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Solution

The fourth proportional to 5,573.76, 8,361.60 and 1,677.84 is: 2,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.76 : 8,361.60 = 1,677.84 : x
  2. Step 2: Convert to fraction form
    5,573.76/8,361.60 = 1,677.84/x
  3. Step 3: Cross multiply
    5,573.76x = 8,361.60 × 1,677.84
  4. Step 4: Simplify right side
    5,573.76x = 14,029,426.94
  5. Step 5: Solve for x
    x = 14,029,426.94/5,573.76
  6. Step 6: Final answer
    x = 2,517.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.