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Finding the Fourth Proportional to 4,825.68, 7,233.64 and 3,669

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Solution

The fourth proportional to 4,825.68, 7,233.64 and 3,669 is: 5,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.68 : 7,233.64 = 3,669 : x
  2. Step 2: Convert to fraction form
    4,825.68/7,233.64 = 3,669/x
  3. Step 3: Cross multiply
    4,825.68x = 7,233.64 × 3,669
  4. Step 4: Simplify right side
    4,825.68x = 26,540,225.16
  5. Step 5: Solve for x
    x = 26,540,225.16/4,825.68
  6. Step 6: Final answer
    x = 5,499.79

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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.