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Finding the Fourth Proportional to 3,879.90, 5,354.82 and 2,307.96

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Solution

The fourth proportional to 3,879.90, 5,354.82 and 2,307.96 is: 3,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.90 : 5,354.82 = 2,307.96 : x
  2. Step 2: Convert to fraction form
    3,879.90/5,354.82 = 2,307.96/x
  3. Step 3: Cross multiply
    3,879.90x = 5,354.82 × 2,307.96
  4. Step 4: Simplify right side
    3,879.90x = 12,358,710.37
  5. Step 5: Solve for x
    x = 12,358,710.37/3,879.90
  6. Step 6: Final answer
    x = 3,185.32

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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.