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Finding the Fourth Proportional to 5,166.42, 7,128.78 and 2,927.82

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Solution

The fourth proportional to 5,166.42, 7,128.78 and 2,927.82 is: 4,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.42 : 7,128.78 = 2,927.82 : x
  2. Step 2: Convert to fraction form
    5,166.42/7,128.78 = 2,927.82/x
  3. Step 3: Cross multiply
    5,166.42x = 7,128.78 × 2,927.82
  4. Step 4: Simplify right side
    5,166.42x = 20,871,784.66
  5. Step 5: Solve for x
    x = 20,871,784.66/5,166.42
  6. Step 6: Final answer
    x = 4,039.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.