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Finding the Fourth Proportional to 5,312.85, 7,969.23 and 2,194.53

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Solution

The fourth proportional to 5,312.85, 7,969.23 and 2,194.53 is: 3,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.85 : 7,969.23 = 2,194.53 : x
  2. Step 2: Convert to fraction form
    5,312.85/7,969.23 = 2,194.53/x
  3. Step 3: Cross multiply
    5,312.85x = 7,969.23 × 2,194.53
  4. Step 4: Simplify right side
    5,312.85x = 17,488,714.31
  5. Step 5: Solve for x
    x = 17,488,714.31/5,312.85
  6. Step 6: Final answer
    x = 3,291.78

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