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Finding the Fourth Proportional to 5,420.91, 8,131.36 and 1,316.91

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Solution

The fourth proportional to 5,420.91, 8,131.36 and 1,316.91 is: 1,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.91 : 8,131.36 = 1,316.91 : x
  2. Step 2: Convert to fraction form
    5,420.91/8,131.36 = 1,316.91/x
  3. Step 3: Cross multiply
    5,420.91x = 8,131.36 × 1,316.91
  4. Step 4: Simplify right side
    5,420.91x = 10,708,269.30
  5. Step 5: Solve for x
    x = 10,708,269.30/5,420.91
  6. Step 6: Final answer
    x = 1,975.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.