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Finding the Fourth Proportional to 5,970, 8,238.60 and 4,110.24

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Solution

The fourth proportional to 5,970, 8,238.60 and 4,110.24 is: 5,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970 : 8,238.60 = 4,110.24 : x
  2. Step 2: Convert to fraction form
    5,970/8,238.60 = 4,110.24/x
  3. Step 3: Cross multiply
    5,970x = 8,238.60 × 4,110.24
  4. Step 4: Simplify right side
    5,970x = 33,862,623.26
  5. Step 5: Solve for x
    x = 33,862,623.26/5,970
  6. Step 6: Final answer
    x = 5,672.13

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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.