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Finding the Fourth Proportional to 5,461.71, 8,194.86 and 2,342.40

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Solution

The fourth proportional to 5,461.71, 8,194.86 and 2,342.40 is: 3,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.71 : 8,194.86 = 2,342.40 : x
  2. Step 2: Convert to fraction form
    5,461.71/8,194.86 = 2,342.40/x
  3. Step 3: Cross multiply
    5,461.71x = 8,194.86 × 2,342.40
  4. Step 4: Simplify right side
    5,461.71x = 19,195,640.06
  5. Step 5: Solve for x
    x = 19,195,640.06/5,461.71
  6. Step 6: Final answer
    x = 3,514.58

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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.