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Finding the Fourth Proportional to 5,810.43, 8,715.56 and 1,427.92

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Solution

The fourth proportional to 5,810.43, 8,715.56 and 1,427.92 is: 2,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.43 : 8,715.56 = 1,427.92 : x
  2. Step 2: Convert to fraction form
    5,810.43/8,715.56 = 1,427.92/x
  3. Step 3: Cross multiply
    5,810.43x = 8,715.56 × 1,427.92
  4. Step 4: Simplify right side
    5,810.43x = 12,445,122.44
  5. Step 5: Solve for x
    x = 12,445,122.44/5,810.43
  6. Step 6: Final answer
    x = 2,141.86

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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.