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Finding the Fourth Proportional to 3,940.80, 5,434.98 and 2,368.58

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Solution

The fourth proportional to 3,940.80, 5,434.98 and 2,368.58 is: 3,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.80 : 5,434.98 = 2,368.58 : x
  2. Step 2: Convert to fraction form
    3,940.80/5,434.98 = 2,368.58/x
  3. Step 3: Cross multiply
    3,940.80x = 5,434.98 × 2,368.58
  4. Step 4: Simplify right side
    3,940.80x = 12,873,184.93
  5. Step 5: Solve for x
    x = 12,873,184.93/3,940.80
  6. Step 6: Final answer
    x = 3,266.64

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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.