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Finding the Fourth Proportional to 4,964.64, 7,447.50 and 1,844.28

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Solution

The fourth proportional to 4,964.64, 7,447.50 and 1,844.28 is: 2,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.64 : 7,447.50 = 1,844.28 : x
  2. Step 2: Convert to fraction form
    4,964.64/7,447.50 = 1,844.28/x
  3. Step 3: Cross multiply
    4,964.64x = 7,447.50 × 1,844.28
  4. Step 4: Simplify right side
    4,964.64x = 13,735,275.30
  5. Step 5: Solve for x
    x = 13,735,275.30/4,964.64
  6. Step 6: Final answer
    x = 2,766.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.