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Finding the Fourth Proportional to 3,686.38, 5,525.15 and 1,709.34

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Solution

The fourth proportional to 3,686.38, 5,525.15 and 1,709.34 is: 2,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.38 : 5,525.15 = 1,709.34 : x
  2. Step 2: Convert to fraction form
    3,686.38/5,525.15 = 1,709.34/x
  3. Step 3: Cross multiply
    3,686.38x = 5,525.15 × 1,709.34
  4. Step 4: Simplify right side
    3,686.38x = 9,444,359.90
  5. Step 5: Solve for x
    x = 9,444,359.90/3,686.38
  6. Step 6: Final answer
    x = 2,561.96

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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.