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Finding the Fourth Proportional to 5,052.80, 7,577.36 and 1,764.96

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Solution

The fourth proportional to 5,052.80, 7,577.36 and 1,764.96 is: 2,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.80 : 7,577.36 = 1,764.96 : x
  2. Step 2: Convert to fraction form
    5,052.80/7,577.36 = 1,764.96/x
  3. Step 3: Cross multiply
    5,052.80x = 7,577.36 × 1,764.96
  4. Step 4: Simplify right side
    5,052.80x = 13,373,737.31
  5. Step 5: Solve for x
    x = 13,373,737.31/5,052.80
  6. Step 6: Final answer
    x = 2,646.80

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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.