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Finding the Fourth Proportional to 4,966.84, 6,852.90 and 3,197.80

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Solution

The fourth proportional to 4,966.84, 6,852.90 and 3,197.80 is: 4,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.84 : 6,852.90 = 3,197.80 : x
  2. Step 2: Convert to fraction form
    4,966.84/6,852.90 = 3,197.80/x
  3. Step 3: Cross multiply
    4,966.84x = 6,852.90 × 3,197.80
  4. Step 4: Simplify right side
    4,966.84x = 21,914,203.62
  5. Step 5: Solve for x
    x = 21,914,203.62/4,966.84
  6. Step 6: Final answer
    x = 4,412.10

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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.