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Finding the Fourth Proportional to 5,460.52, 8,189.70 and 1,761.84

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Solution

The fourth proportional to 5,460.52, 8,189.70 and 1,761.84 is: 2,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.52 : 8,189.70 = 1,761.84 : x
  2. Step 2: Convert to fraction form
    5,460.52/8,189.70 = 1,761.84/x
  3. Step 3: Cross multiply
    5,460.52x = 8,189.70 × 1,761.84
  4. Step 4: Simplify right side
    5,460.52x = 14,428,941.05
  5. Step 5: Solve for x
    x = 14,428,941.05/5,460.52
  6. Step 6: Final answer
    x = 2,642.41

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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.