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Finding the Fourth Proportional to 5,174.38, 7,757.02 and 2,056.59

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Solution

The fourth proportional to 5,174.38, 7,757.02 and 2,056.59 is: 3,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.38 : 7,757.02 = 2,056.59 : x
  2. Step 2: Convert to fraction form
    5,174.38/7,757.02 = 2,056.59/x
  3. Step 3: Cross multiply
    5,174.38x = 7,757.02 × 2,056.59
  4. Step 4: Simplify right side
    5,174.38x = 15,953,009.76
  5. Step 5: Solve for x
    x = 15,953,009.76/5,174.38
  6. Step 6: Final answer
    x = 3,083.08

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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.