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Finding the Fourth Proportional to 5,684.16, 7,846.56 and 3,822.24

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Solution

The fourth proportional to 5,684.16, 7,846.56 and 3,822.24 is: 5,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.16 : 7,846.56 = 3,822.24 : x
  2. Step 2: Convert to fraction form
    5,684.16/7,846.56 = 3,822.24/x
  3. Step 3: Cross multiply
    5,684.16x = 7,846.56 × 3,822.24
  4. Step 4: Simplify right side
    5,684.16x = 29,991,435.49
  5. Step 5: Solve for x
    x = 29,991,435.49/5,684.16
  6. Step 6: Final answer
    x = 5,276.32

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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.