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Finding the Fourth Proportional to 3,809.48, 5,714.82 and 1,618.23

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Solution

The fourth proportional to 3,809.48, 5,714.82 and 1,618.23 is: 2,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.48 : 5,714.82 = 1,618.23 : x
  2. Step 2: Convert to fraction form
    3,809.48/5,714.82 = 1,618.23/x
  3. Step 3: Cross multiply
    3,809.48x = 5,714.82 × 1,618.23
  4. Step 4: Simplify right side
    3,809.48x = 9,247,893.17
  5. Step 5: Solve for x
    x = 9,247,893.17/3,809.48
  6. Step 6: Final answer
    x = 2,427.60

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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.