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Finding the Fourth Proportional to 5,978.88, 8,252.82 and 5,348.30

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Solution

The fourth proportional to 5,978.88, 8,252.82 and 5,348.30 is: 7,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.88 : 8,252.82 = 5,348.30 : x
  2. Step 2: Convert to fraction form
    5,978.88/8,252.82 = 5,348.30/x
  3. Step 3: Cross multiply
    5,978.88x = 8,252.82 × 5,348.30
  4. Step 4: Simplify right side
    5,978.88x = 44,138,515.94
  5. Step 5: Solve for x
    x = 44,138,515.94/5,978.88
  6. Step 6: Final answer
    x = 7,382.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.