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Finding the Fourth Proportional to 3,379.38, 4,663.50 and 1,887.46

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Solution

The fourth proportional to 3,379.38, 4,663.50 and 1,887.46 is: 2,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.38 : 4,663.50 = 1,887.46 : x
  2. Step 2: Convert to fraction form
    3,379.38/4,663.50 = 1,887.46/x
  3. Step 3: Cross multiply
    3,379.38x = 4,663.50 × 1,887.46
  4. Step 4: Simplify right side
    3,379.38x = 8,802,169.71
  5. Step 5: Solve for x
    x = 8,802,169.71/3,379.38
  6. Step 6: Final answer
    x = 2,604.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.