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Finding the Fourth Proportional to 4,606.93, 6,911.44 and 1,685.23

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Solution

The fourth proportional to 4,606.93, 6,911.44 and 1,685.23 is: 2,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.93 : 6,911.44 = 1,685.23 : x
  2. Step 2: Convert to fraction form
    4,606.93/6,911.44 = 1,685.23/x
  3. Step 3: Cross multiply
    4,606.93x = 6,911.44 × 1,685.23
  4. Step 4: Simplify right side
    4,606.93x = 11,647,357.61
  5. Step 5: Solve for x
    x = 11,647,357.61/4,606.93
  6. Step 6: Final answer
    x = 2,528.23

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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.