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Finding the Fourth Proportional to 5,693.74, 8,544.45 and 1,996

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Solution

The fourth proportional to 5,693.74, 8,544.45 and 1,996 is: 2,995.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.74 : 8,544.45 = 1,996 : x
  2. Step 2: Convert to fraction form
    5,693.74/8,544.45 = 1,996/x
  3. Step 3: Cross multiply
    5,693.74x = 8,544.45 × 1,996
  4. Step 4: Simplify right side
    5,693.74x = 17,054,722.20
  5. Step 5: Solve for x
    x = 17,054,722.20/5,693.74
  6. Step 6: Final answer
    x = 2,995.35

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Why These Related Problems?

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