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Finding the Fourth Proportional to 3,830.64, 5,288.36 and 2,338.88

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Solution

The fourth proportional to 3,830.64, 5,288.36 and 2,338.88 is: 3,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.64 : 5,288.36 = 2,338.88 : x
  2. Step 2: Convert to fraction form
    3,830.64/5,288.36 = 2,338.88/x
  3. Step 3: Cross multiply
    3,830.64x = 5,288.36 × 2,338.88
  4. Step 4: Simplify right side
    3,830.64x = 12,368,839.44
  5. Step 5: Solve for x
    x = 12,368,839.44/3,830.64
  6. Step 6: Final answer
    x = 3,228.92

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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.