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Finding the Fourth Proportional to 5,166, 7,147.85 and 4,504.23

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Solution

The fourth proportional to 5,166, 7,147.85 and 4,504.23 is: 6,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166 : 7,147.85 = 4,504.23 : x
  2. Step 2: Convert to fraction form
    5,166/7,147.85 = 4,504.23/x
  3. Step 3: Cross multiply
    5,166x = 7,147.85 × 4,504.23
  4. Step 4: Simplify right side
    5,166x = 32,195,537.88
  5. Step 5: Solve for x
    x = 32,195,537.88/5,166
  6. Step 6: Final answer
    x = 6,232.20

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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.