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Finding the Fourth Proportional to 3,467.70, 4,779.90 and 3,181.68

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Solution

The fourth proportional to 3,467.70, 4,779.90 and 3,181.68 is: 4,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.70 : 4,779.90 = 3,181.68 : x
  2. Step 2: Convert to fraction form
    3,467.70/4,779.90 = 3,181.68/x
  3. Step 3: Cross multiply
    3,467.70x = 4,779.90 × 3,181.68
  4. Step 4: Simplify right side
    3,467.70x = 15,208,112.23
  5. Step 5: Solve for x
    x = 15,208,112.23/3,467.70
  6. Step 6: Final answer
    x = 4,385.65

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