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Finding the Fourth Proportional to 5,935.44, 8,190.88 and 3,416.63

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Solution

The fourth proportional to 5,935.44, 8,190.88 and 3,416.63 is: 4,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.44 : 8,190.88 = 3,416.63 : x
  2. Step 2: Convert to fraction form
    5,935.44/8,190.88 = 3,416.63/x
  3. Step 3: Cross multiply
    5,935.44x = 8,190.88 × 3,416.63
  4. Step 4: Simplify right side
    5,935.44x = 27,985,206.33
  5. Step 5: Solve for x
    x = 27,985,206.33/5,935.44
  6. Step 6: Final answer
    x = 4,714.93

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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.