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Finding the Fourth Proportional to 5,232.24, 7,847.64 and 3,042

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Solution

The fourth proportional to 5,232.24, 7,847.64 and 3,042 is: 4,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.24 : 7,847.64 = 3,042 : x
  2. Step 2: Convert to fraction form
    5,232.24/7,847.64 = 3,042/x
  3. Step 3: Cross multiply
    5,232.24x = 7,847.64 × 3,042
  4. Step 4: Simplify right side
    5,232.24x = 23,872,520.88
  5. Step 5: Solve for x
    x = 23,872,520.88/5,232.24
  6. Step 6: Final answer
    x = 4,562.58

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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.