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Finding the Fourth Proportional to 5,202.64, 7,179.63 and 2,844.76

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Solution

The fourth proportional to 5,202.64, 7,179.63 and 2,844.76 is: 3,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.64 : 7,179.63 = 2,844.76 : x
  2. Step 2: Convert to fraction form
    5,202.64/7,179.63 = 2,844.76/x
  3. Step 3: Cross multiply
    5,202.64x = 7,179.63 × 2,844.76
  4. Step 4: Simplify right side
    5,202.64x = 20,424,324.24
  5. Step 5: Solve for x
    x = 20,424,324.24/5,202.64
  6. Step 6: Final answer
    x = 3,925.76

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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.