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Finding the Fourth Proportional to 5,054.56, 7,577.17 and 3,200.06

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Solution

The fourth proportional to 5,054.56, 7,577.17 and 3,200.06 is: 4,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.56 : 7,577.17 = 3,200.06 : x
  2. Step 2: Convert to fraction form
    5,054.56/7,577.17 = 3,200.06/x
  3. Step 3: Cross multiply
    5,054.56x = 7,577.17 × 3,200.06
  4. Step 4: Simplify right side
    5,054.56x = 24,247,409.57
  5. Step 5: Solve for x
    x = 24,247,409.57/5,054.56
  6. Step 6: Final answer
    x = 4,797.14

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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.