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Finding the Fourth Proportional to 4,825.46, 7,232.70 and 3,651.64

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Solution

The fourth proportional to 4,825.46, 7,232.70 and 3,651.64 is: 5,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.46 : 7,232.70 = 3,651.64 : x
  2. Step 2: Convert to fraction form
    4,825.46/7,232.70 = 3,651.64/x
  3. Step 3: Cross multiply
    4,825.46x = 7,232.70 × 3,651.64
  4. Step 4: Simplify right side
    4,825.46x = 26,411,216.63
  5. Step 5: Solve for x
    x = 26,411,216.63/4,825.46
  6. Step 6: Final answer
    x = 5,473.31

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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.