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Finding the Fourth Proportional to 3,920.72, 5,406.98 and 2,663.65

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Solution

The fourth proportional to 3,920.72, 5,406.98 and 2,663.65 is: 3,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.72 : 5,406.98 = 2,663.65 : x
  2. Step 2: Convert to fraction form
    3,920.72/5,406.98 = 2,663.65/x
  3. Step 3: Cross multiply
    3,920.72x = 5,406.98 × 2,663.65
  4. Step 4: Simplify right side
    3,920.72x = 14,402,295.72
  5. Step 5: Solve for x
    x = 14,402,295.72/3,920.72
  6. Step 6: Final answer
    x = 3,673.39

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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.