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Finding the Fourth Proportional to 5,658.21, 7,812.38 and 3,774.24

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Solution

The fourth proportional to 5,658.21, 7,812.38 and 3,774.24 is: 5,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.21 : 7,812.38 = 3,774.24 : x
  2. Step 2: Convert to fraction form
    5,658.21/7,812.38 = 3,774.24/x
  3. Step 3: Cross multiply
    5,658.21x = 7,812.38 × 3,774.24
  4. Step 4: Simplify right side
    5,658.21x = 29,485,778.22
  5. Step 5: Solve for x
    x = 29,485,778.22/5,658.21
  6. Step 6: Final answer
    x = 5,211.15

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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.