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Finding the Fourth Proportional to 5,968.02, 8,236.52 and 3,416

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Solution

The fourth proportional to 5,968.02, 8,236.52 and 3,416 is: 4,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.02 : 8,236.52 = 3,416 : x
  2. Step 2: Convert to fraction form
    5,968.02/8,236.52 = 3,416/x
  3. Step 3: Cross multiply
    5,968.02x = 8,236.52 × 3,416
  4. Step 4: Simplify right side
    5,968.02x = 28,135,952.32
  5. Step 5: Solve for x
    x = 28,135,952.32/5,968.02
  6. Step 6: Final answer
    x = 4,714.45

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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.