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Finding the Fourth Proportional to 5,277.60, 7,283.24 and 3,039.30

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Solution

The fourth proportional to 5,277.60, 7,283.24 and 3,039.30 is: 4,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.60 : 7,283.24 = 3,039.30 : x
  2. Step 2: Convert to fraction form
    5,277.60/7,283.24 = 3,039.30/x
  3. Step 3: Cross multiply
    5,277.60x = 7,283.24 × 3,039.30
  4. Step 4: Simplify right side
    5,277.60x = 22,135,951.33
  5. Step 5: Solve for x
    x = 22,135,951.33/5,277.60
  6. Step 6: Final answer
    x = 4,194.32

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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.