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Finding the Fourth Proportional to 5,174.99, 7,763.45 and 4,705.49

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Solution

The fourth proportional to 5,174.99, 7,763.45 and 4,705.49 is: 7,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.99 : 7,763.45 = 4,705.49 : x
  2. Step 2: Convert to fraction form
    5,174.99/7,763.45 = 4,705.49/x
  3. Step 3: Cross multiply
    5,174.99x = 7,763.45 × 4,705.49
  4. Step 4: Simplify right side
    5,174.99x = 36,530,832.22
  5. Step 5: Solve for x
    x = 36,530,832.22/5,174.99
  6. Step 6: Final answer
    x = 7,059.11

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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.