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Finding the Fourth Proportional to 4,637.39, 6,914.72 and 4,122.23

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Solution

The fourth proportional to 4,637.39, 6,914.72 and 4,122.23 is: 6,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.39 : 6,914.72 = 4,122.23 : x
  2. Step 2: Convert to fraction form
    4,637.39/6,914.72 = 4,122.23/x
  3. Step 3: Cross multiply
    4,637.39x = 6,914.72 × 4,122.23
  4. Step 4: Simplify right side
    4,637.39x = 28,504,093.82
  5. Step 5: Solve for x
    x = 28,504,093.82/4,637.39
  6. Step 6: Final answer
    x = 6,146.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.