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Finding the Fourth Proportional to 5,695.14, 8,542.74 and 1,995.36

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Solution

The fourth proportional to 5,695.14, 8,542.74 and 1,995.36 is: 2,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.14 : 8,542.74 = 1,995.36 : x
  2. Step 2: Convert to fraction form
    5,695.14/8,542.74 = 1,995.36/x
  3. Step 3: Cross multiply
    5,695.14x = 8,542.74 × 1,995.36
  4. Step 4: Simplify right side
    5,695.14x = 17,045,841.69
  5. Step 5: Solve for x
    x = 17,045,841.69/5,695.14
  6. Step 6: Final answer
    x = 2,993.05

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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.