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Finding the Fourth Proportional to 5,461.97, 8,189.51 and 2,176.00

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Solution

The fourth proportional to 5,461.97, 8,189.51 and 2,176.00 is: 3,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.97 : 8,189.51 = 2,176.00 : x
  2. Step 2: Convert to fraction form
    5,461.97/8,189.51 = 2,176.00/x
  3. Step 3: Cross multiply
    5,461.97x = 8,189.51 × 2,176.00
  4. Step 4: Simplify right side
    5,461.97x = 17,820,342.41
  5. Step 5: Solve for x
    x = 17,820,342.41/5,461.97
  6. Step 6: Final answer
    x = 3,262.62

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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.