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Finding the Fourth Proportional to 4,546.81, 6,806.97 and 3,455.47

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Solution

The fourth proportional to 4,546.81, 6,806.97 and 3,455.47 is: 5,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.81 : 6,806.97 = 3,455.47 : x
  2. Step 2: Convert to fraction form
    4,546.81/6,806.97 = 3,455.47/x
  3. Step 3: Cross multiply
    4,546.81x = 6,806.97 × 3,455.47
  4. Step 4: Simplify right side
    4,546.81x = 23,521,280.63
  5. Step 5: Solve for x
    x = 23,521,280.63/4,546.81
  6. Step 6: Final answer
    x = 5,173.14

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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.