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Finding the Fourth Proportional to 6,118, 8,443.56 and 3,634

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Solution

The fourth proportional to 6,118, 8,443.56 and 3,634 is: 5,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118 : 8,443.56 = 3,634 : x
  2. Step 2: Convert to fraction form
    6,118/8,443.56 = 3,634/x
  3. Step 3: Cross multiply
    6,118x = 8,443.56 × 3,634
  4. Step 4: Simplify right side
    6,118x = 30,683,897.04
  5. Step 5: Solve for x
    x = 30,683,897.04/6,118
  6. Step 6: Final answer
    x = 5,015.35

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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.