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Finding the Fourth Proportional to 3,525.96, 5,285.16 and 1,575.48

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Solution

The fourth proportional to 3,525.96, 5,285.16 and 1,575.48 is: 2,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.96 : 5,285.16 = 1,575.48 : x
  2. Step 2: Convert to fraction form
    3,525.96/5,285.16 = 1,575.48/x
  3. Step 3: Cross multiply
    3,525.96x = 5,285.16 × 1,575.48
  4. Step 4: Simplify right side
    3,525.96x = 8,326,663.88
  5. Step 5: Solve for x
    x = 8,326,663.88/3,525.96
  6. Step 6: Final answer
    x = 2,361.53

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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.