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Finding the Fourth Proportional to 5,463.58, 8,189.17 and 4,804.18

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Solution

The fourth proportional to 5,463.58, 8,189.17 and 4,804.18 is: 7,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.58 : 8,189.17 = 4,804.18 : x
  2. Step 2: Convert to fraction form
    5,463.58/8,189.17 = 4,804.18/x
  3. Step 3: Cross multiply
    5,463.58x = 8,189.17 × 4,804.18
  4. Step 4: Simplify right side
    5,463.58x = 39,342,273.21
  5. Step 5: Solve for x
    x = 39,342,273.21/5,463.58
  6. Step 6: Final answer
    x = 7,200.82

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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.