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Finding the Fourth Proportional to 5,672.26, 8,510.01 and 4,113.82

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Solution

The fourth proportional to 5,672.26, 8,510.01 and 4,113.82 is: 6,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.26 : 8,510.01 = 4,113.82 : x
  2. Step 2: Convert to fraction form
    5,672.26/8,510.01 = 4,113.82/x
  3. Step 3: Cross multiply
    5,672.26x = 8,510.01 × 4,113.82
  4. Step 4: Simplify right side
    5,672.26x = 35,008,649.34
  5. Step 5: Solve for x
    x = 35,008,649.34/5,672.26
  6. Step 6: Final answer
    x = 6,171.90

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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.