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Finding the Fourth Proportional to 4,825.32, 7,238.78 and 1,662.63

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Solution

The fourth proportional to 4,825.32, 7,238.78 and 1,662.63 is: 2,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.32 : 7,238.78 = 1,662.63 : x
  2. Step 2: Convert to fraction form
    4,825.32/7,238.78 = 1,662.63/x
  3. Step 3: Cross multiply
    4,825.32x = 7,238.78 × 1,662.63
  4. Step 4: Simplify right side
    4,825.32x = 12,035,404.48
  5. Step 5: Solve for x
    x = 12,035,404.48/4,825.32
  6. Step 6: Final answer
    x = 2,494.22

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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.