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Finding the Fourth Proportional to 4,653.80, 6,422.82 and 2,766.28

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Solution

The fourth proportional to 4,653.80, 6,422.82 and 2,766.28 is: 3,817.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.80 : 6,422.82 = 2,766.28 : x
  2. Step 2: Convert to fraction form
    4,653.80/6,422.82 = 2,766.28/x
  3. Step 3: Cross multiply
    4,653.80x = 6,422.82 × 2,766.28
  4. Step 4: Simplify right side
    4,653.80x = 17,767,318.51
  5. Step 5: Solve for x
    x = 17,767,318.51/4,653.80
  6. Step 6: Final answer
    x = 3,817.81

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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.