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Finding the Fourth Proportional to 3,795.72, 5,693.88 and 1,456.86

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Solution

The fourth proportional to 3,795.72, 5,693.88 and 1,456.86 is: 2,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.72 : 5,693.88 = 1,456.86 : x
  2. Step 2: Convert to fraction form
    3,795.72/5,693.88 = 1,456.86/x
  3. Step 3: Cross multiply
    3,795.72x = 5,693.88 × 1,456.86
  4. Step 4: Simplify right side
    3,795.72x = 8,295,186.02
  5. Step 5: Solve for x
    x = 8,295,186.02/3,795.72
  6. Step 6: Final answer
    x = 2,185.41

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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.