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Finding the Fourth Proportional to 5,238.64, 7,847.42 and 2,423.51

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Solution

The fourth proportional to 5,238.64, 7,847.42 and 2,423.51 is: 3,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.64 : 7,847.42 = 2,423.51 : x
  2. Step 2: Convert to fraction form
    5,238.64/7,847.42 = 2,423.51/x
  3. Step 3: Cross multiply
    5,238.64x = 7,847.42 × 2,423.51
  4. Step 4: Simplify right side
    5,238.64x = 19,018,278.92
  5. Step 5: Solve for x
    x = 19,018,278.92/5,238.64
  6. Step 6: Final answer
    x = 3,630.38

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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.