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Finding the Fourth Proportional to 3,647.32, 5,475.30 and 3,632.92

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Solution

The fourth proportional to 3,647.32, 5,475.30 and 3,632.92 is: 5,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.32 : 5,475.30 = 3,632.92 : x
  2. Step 2: Convert to fraction form
    3,647.32/5,475.30 = 3,632.92/x
  3. Step 3: Cross multiply
    3,647.32x = 5,475.30 × 3,632.92
  4. Step 4: Simplify right side
    3,647.32x = 19,891,326.88
  5. Step 5: Solve for x
    x = 19,891,326.88/3,647.32
  6. Step 6: Final answer
    x = 5,453.68

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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.