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Finding the Fourth Proportional to 3,505.72, 5,261.82 and 1,775.56

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Solution

The fourth proportional to 3,505.72, 5,261.82 and 1,775.56 is: 2,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.72 : 5,261.82 = 1,775.56 : x
  2. Step 2: Convert to fraction form
    3,505.72/5,261.82 = 1,775.56/x
  3. Step 3: Cross multiply
    3,505.72x = 5,261.82 × 1,775.56
  4. Step 4: Simplify right side
    3,505.72x = 9,342,677.12
  5. Step 5: Solve for x
    x = 9,342,677.12/3,505.72
  6. Step 6: Final answer
    x = 2,664.98

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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.