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Finding the Fourth Proportional to 6,128.49, 8,462.16 and 4,005.48

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Solution

The fourth proportional to 6,128.49, 8,462.16 and 4,005.48 is: 5,530.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.49 : 8,462.16 = 4,005.48 : x
  2. Step 2: Convert to fraction form
    6,128.49/8,462.16 = 4,005.48/x
  3. Step 3: Cross multiply
    6,128.49x = 8,462.16 × 4,005.48
  4. Step 4: Simplify right side
    6,128.49x = 33,895,012.64
  5. Step 5: Solve for x
    x = 33,895,012.64/6,128.49
  6. Step 6: Final answer
    x = 5,530.73

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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.