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Finding the Fourth Proportional to 5,645.02, 7,791.04 and 3,407.23

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Solution

The fourth proportional to 5,645.02, 7,791.04 and 3,407.23 is: 4,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.02 : 7,791.04 = 3,407.23 : x
  2. Step 2: Convert to fraction form
    5,645.02/7,791.04 = 3,407.23/x
  3. Step 3: Cross multiply
    5,645.02x = 7,791.04 × 3,407.23
  4. Step 4: Simplify right side
    5,645.02x = 26,545,865.22
  5. Step 5: Solve for x
    x = 26,545,865.22/5,645.02
  6. Step 6: Final answer
    x = 4,702.53

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