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Finding the Fourth Proportional to 5,346.42, 8,021 and 2,225.41

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Solution

The fourth proportional to 5,346.42, 8,021 and 2,225.41 is: 3,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.42 : 8,021 = 2,225.41 : x
  2. Step 2: Convert to fraction form
    5,346.42/8,021 = 2,225.41/x
  3. Step 3: Cross multiply
    5,346.42x = 8,021 × 2,225.41
  4. Step 4: Simplify right side
    5,346.42x = 17,850,013.61
  5. Step 5: Solve for x
    x = 17,850,013.61/5,346.42
  6. Step 6: Final answer
    x = 3,338.69

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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.