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Finding the Fourth Proportional to 3,858.64, 5,808.96 and 2,633.74

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Solution

The fourth proportional to 3,858.64, 5,808.96 and 2,633.74 is: 3,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.64 : 5,808.96 = 2,633.74 : x
  2. Step 2: Convert to fraction form
    3,858.64/5,808.96 = 2,633.74/x
  3. Step 3: Cross multiply
    3,858.64x = 5,808.96 × 2,633.74
  4. Step 4: Simplify right side
    3,858.64x = 15,299,275.79
  5. Step 5: Solve for x
    x = 15,299,275.79/3,858.64
  6. Step 6: Final answer
    x = 3,964.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.