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Finding the Fourth Proportional to 5,617.64, 8,431.63 and 2,846.24

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Solution

The fourth proportional to 5,617.64, 8,431.63 and 2,846.24 is: 4,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.64 : 8,431.63 = 2,846.24 : x
  2. Step 2: Convert to fraction form
    5,617.64/8,431.63 = 2,846.24/x
  3. Step 3: Cross multiply
    5,617.64x = 8,431.63 × 2,846.24
  4. Step 4: Simplify right side
    5,617.64x = 23,998,424.92
  5. Step 5: Solve for x
    x = 23,998,424.92/5,617.64
  6. Step 6: Final answer
    x = 4,271.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.