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Finding the Fourth Proportional to 5,005.71, 6,908.10 and 3,118.41

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Solution

The fourth proportional to 5,005.71, 6,908.10 and 3,118.41 is: 4,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.71 : 6,908.10 = 3,118.41 : x
  2. Step 2: Convert to fraction form
    5,005.71/6,908.10 = 3,118.41/x
  3. Step 3: Cross multiply
    5,005.71x = 6,908.10 × 3,118.41
  4. Step 4: Simplify right side
    5,005.71x = 21,542,288.12
  5. Step 5: Solve for x
    x = 21,542,288.12/5,005.71
  6. Step 6: Final answer
    x = 4,303.54

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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.