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Finding the Fourth Proportional to 5,573.66, 8,344.32 and 4,192.66

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Solution

The fourth proportional to 5,573.66, 8,344.32 and 4,192.66 is: 6,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,573.66 : 8,344.32 = 4,192.66 : x
  2. Step 2: Convert to fraction form
    5,573.66/8,344.32 = 4,192.66/x
  3. Step 3: Cross multiply
    5,573.66x = 8,344.32 × 4,192.66
  4. Step 4: Simplify right side
    5,573.66x = 34,984,891.40
  5. Step 5: Solve for x
    x = 34,984,891.40/5,573.66
  6. Step 6: Final answer
    x = 6,276.82

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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.