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Finding the Fourth Proportional to 3,292.06, 4,936.50 and 1,536.67

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Solution

The fourth proportional to 3,292.06, 4,936.50 and 1,536.67 is: 2,304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.06 : 4,936.50 = 1,536.67 : x
  2. Step 2: Convert to fraction form
    3,292.06/4,936.50 = 1,536.67/x
  3. Step 3: Cross multiply
    3,292.06x = 4,936.50 × 1,536.67
  4. Step 4: Simplify right side
    3,292.06x = 7,585,771.46
  5. Step 5: Solve for x
    x = 7,585,771.46/3,292.06
  6. Step 6: Final answer
    x = 2,304.26

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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.