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Finding the Fourth Proportional to 4,969.17, 7,446.81 and 3,735.14

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Solution

The fourth proportional to 4,969.17, 7,446.81 and 3,735.14 is: 5,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.17 : 7,446.81 = 3,735.14 : x
  2. Step 2: Convert to fraction form
    4,969.17/7,446.81 = 3,735.14/x
  3. Step 3: Cross multiply
    4,969.17x = 7,446.81 × 3,735.14
  4. Step 4: Simplify right side
    4,969.17x = 27,814,840.67
  5. Step 5: Solve for x
    x = 27,814,840.67/4,969.17
  6. Step 6: Final answer
    x = 5,597.48

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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.