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Finding the Fourth Proportional to 5,691.63, 7,851.24 and 3,563.47

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Solution

The fourth proportional to 5,691.63, 7,851.24 and 3,563.47 is: 4,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.63 : 7,851.24 = 3,563.47 : x
  2. Step 2: Convert to fraction form
    5,691.63/7,851.24 = 3,563.47/x
  3. Step 3: Cross multiply
    5,691.63x = 7,851.24 × 3,563.47
  4. Step 4: Simplify right side
    5,691.63x = 27,977,658.20
  5. Step 5: Solve for x
    x = 27,977,658.20/5,691.63
  6. Step 6: Final answer
    x = 4,915.58

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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.