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Finding the Fourth Proportional to 4,773.28, 6,582.72 and 3,180.82

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Solution

The fourth proportional to 4,773.28, 6,582.72 and 3,180.82 is: 4,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.28 : 6,582.72 = 3,180.82 : x
  2. Step 2: Convert to fraction form
    4,773.28/6,582.72 = 3,180.82/x
  3. Step 3: Cross multiply
    4,773.28x = 6,582.72 × 3,180.82
  4. Step 4: Simplify right side
    4,773.28x = 20,938,447.43
  5. Step 5: Solve for x
    x = 20,938,447.43/4,773.28
  6. Step 6: Final answer
    x = 4,386.60

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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.