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Finding the Fourth Proportional to 6,142.77, 8,477.16 and 3,625.49

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Solution

The fourth proportional to 6,142.77, 8,477.16 and 3,625.49 is: 5,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.77 : 8,477.16 = 3,625.49 : x
  2. Step 2: Convert to fraction form
    6,142.77/8,477.16 = 3,625.49/x
  3. Step 3: Cross multiply
    6,142.77x = 8,477.16 × 3,625.49
  4. Step 4: Simplify right side
    6,142.77x = 30,733,866.41
  5. Step 5: Solve for x
    x = 30,733,866.41/6,142.77
  6. Step 6: Final answer
    x = 5,003.26

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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.