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Finding the Fourth Proportional to 5,456.84, 8,182.29 and 1,946.30

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Solution

The fourth proportional to 5,456.84, 8,182.29 and 1,946.30 is: 2,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.84 : 8,182.29 = 1,946.30 : x
  2. Step 2: Convert to fraction form
    5,456.84/8,182.29 = 1,946.30/x
  3. Step 3: Cross multiply
    5,456.84x = 8,182.29 × 1,946.30
  4. Step 4: Simplify right side
    5,456.84x = 15,925,191.03
  5. Step 5: Solve for x
    x = 15,925,191.03/5,456.84
  6. Step 6: Final answer
    x = 2,918.39

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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.