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Finding the Fourth Proportional to 4,966.25, 6,853.14 and 2,975.81

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Solution

The fourth proportional to 4,966.25, 6,853.14 and 2,975.81 is: 4,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.25 : 6,853.14 = 2,975.81 : x
  2. Step 2: Convert to fraction form
    4,966.25/6,853.14 = 2,975.81/x
  3. Step 3: Cross multiply
    4,966.25x = 6,853.14 × 2,975.81
  4. Step 4: Simplify right side
    4,966.25x = 20,393,608.28
  5. Step 5: Solve for x
    x = 20,393,608.28/4,966.25
  6. Step 6: Final answer
    x = 4,106.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.