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Finding the Fourth Proportional to 5,166.37, 7,129.74 and 3,178.09

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Solution

The fourth proportional to 5,166.37, 7,129.74 and 3,178.09 is: 4,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.37 : 7,129.74 = 3,178.09 : x
  2. Step 2: Convert to fraction form
    5,166.37/7,129.74 = 3,178.09/x
  3. Step 3: Cross multiply
    5,166.37x = 7,129.74 × 3,178.09
  4. Step 4: Simplify right side
    5,166.37x = 22,658,955.40
  5. Step 5: Solve for x
    x = 22,658,955.40/5,166.37
  6. Step 6: Final answer
    x = 4,385.86

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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.