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Finding the Fourth Proportional to 3,795.93, 5,693.47 and 1,022.88

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Solution

The fourth proportional to 3,795.93, 5,693.47 and 1,022.88 is: 1,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.93 : 5,693.47 = 1,022.88 : x
  2. Step 2: Convert to fraction form
    3,795.93/5,693.47 = 1,022.88/x
  3. Step 3: Cross multiply
    3,795.93x = 5,693.47 × 1,022.88
  4. Step 4: Simplify right side
    3,795.93x = 5,823,729.11
  5. Step 5: Solve for x
    x = 5,823,729.11/3,795.93
  6. Step 6: Final answer
    x = 1,534.20

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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.