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Finding the Fourth Proportional to 5,126, 7,688.22 and 1,427.84

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Solution

The fourth proportional to 5,126, 7,688.22 and 1,427.84 is: 2,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126 : 7,688.22 = 1,427.84 : x
  2. Step 2: Convert to fraction form
    5,126/7,688.22 = 1,427.84/x
  3. Step 3: Cross multiply
    5,126x = 7,688.22 × 1,427.84
  4. Step 4: Simplify right side
    5,126x = 10,977,548.04
  5. Step 5: Solve for x
    x = 10,977,548.04/5,126
  6. Step 6: Final answer
    x = 2,141.54

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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.