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Finding the Fourth Proportional to 3,666.62, 5,502.18 and 3,057.86

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Solution

The fourth proportional to 3,666.62, 5,502.18 and 3,057.86 is: 4,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.62 : 5,502.18 = 3,057.86 : x
  2. Step 2: Convert to fraction form
    3,666.62/5,502.18 = 3,057.86/x
  3. Step 3: Cross multiply
    3,666.62x = 5,502.18 × 3,057.86
  4. Step 4: Simplify right side
    3,666.62x = 16,824,896.13
  5. Step 5: Solve for x
    x = 16,824,896.13/3,666.62
  6. Step 6: Final answer
    x = 4,588.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.