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Finding the Fourth Proportional to 3,609.57, 5,416.47 and 1,529.45

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Solution

The fourth proportional to 3,609.57, 5,416.47 and 1,529.45 is: 2,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.57 : 5,416.47 = 1,529.45 : x
  2. Step 2: Convert to fraction form
    3,609.57/5,416.47 = 1,529.45/x
  3. Step 3: Cross multiply
    3,609.57x = 5,416.47 × 1,529.45
  4. Step 4: Simplify right side
    3,609.57x = 8,284,192.96
  5. Step 5: Solve for x
    x = 8,284,192.96/3,609.57
  6. Step 6: Final answer
    x = 2,295.06

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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.