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Finding the Fourth Proportional to 5,773.29, 7,968.02 and 3,416.19

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Solution

The fourth proportional to 5,773.29, 7,968.02 and 3,416.19 is: 4,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.29 : 7,968.02 = 3,416.19 : x
  2. Step 2: Convert to fraction form
    5,773.29/7,968.02 = 3,416.19/x
  3. Step 3: Cross multiply
    5,773.29x = 7,968.02 × 3,416.19
  4. Step 4: Simplify right side
    5,773.29x = 27,220,253.16
  5. Step 5: Solve for x
    x = 27,220,253.16/5,773.29
  6. Step 6: Final answer
    x = 4,714.86

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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.