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Finding the Fourth Proportional to 5,052.52, 7,577.34 and 3,200.84

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Solution

The fourth proportional to 5,052.52, 7,577.34 and 3,200.84 is: 4,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.52 : 7,577.34 = 3,200.84 : x
  2. Step 2: Convert to fraction form
    5,052.52/7,577.34 = 3,200.84/x
  3. Step 3: Cross multiply
    5,052.52x = 7,577.34 × 3,200.84
  4. Step 4: Simplify right side
    5,052.52x = 24,253,852.97
  5. Step 5: Solve for x
    x = 24,253,852.97/5,052.52
  6. Step 6: Final answer
    x = 4,800.35

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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.