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Finding the Fourth Proportional to 5,174.24, 7,739.60 and 4,362

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Solution

The fourth proportional to 5,174.24, 7,739.60 and 4,362 is: 6,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.24 : 7,739.60 = 4,362 : x
  2. Step 2: Convert to fraction form
    5,174.24/7,739.60 = 4,362/x
  3. Step 3: Cross multiply
    5,174.24x = 7,739.60 × 4,362
  4. Step 4: Simplify right side
    5,174.24x = 33,760,113.39
  5. Step 5: Solve for x
    x = 33,760,113.39/5,174.24
  6. Step 6: Final answer
    x = 6,524.66

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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.