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Finding the Fourth Proportional to 5,478.82, 7,559.87 and 3,120.50

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Solution

The fourth proportional to 5,478.82, 7,559.87 and 3,120.50 is: 4,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.82 : 7,559.87 = 3,120.50 : x
  2. Step 2: Convert to fraction form
    5,478.82/7,559.87 = 3,120.50/x
  3. Step 3: Cross multiply
    5,478.82x = 7,559.87 × 3,120.50
  4. Step 4: Simplify right side
    5,478.82x = 23,590,577.63
  5. Step 5: Solve for x
    x = 23,590,577.63/5,478.82
  6. Step 6: Final answer
    x = 4,305.78

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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.