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Finding the Fourth Proportional to 5,729.18, 7,904.53 and 3,709.38

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Solution

The fourth proportional to 5,729.18, 7,904.53 and 3,709.38 is: 5,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.18 : 7,904.53 = 3,709.38 : x
  2. Step 2: Convert to fraction form
    5,729.18/7,904.53 = 3,709.38/x
  3. Step 3: Cross multiply
    5,729.18x = 7,904.53 × 3,709.38
  4. Step 4: Simplify right side
    5,729.18x = 29,320,896.22
  5. Step 5: Solve for x
    x = 29,320,896.22/5,729.18
  6. Step 6: Final answer
    x = 5,117.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.