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Finding the Fourth Proportional to 5,890.22, 8,125.12 and 3,678.38

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Solution

The fourth proportional to 5,890.22, 8,125.12 and 3,678.38 is: 5,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.22 : 8,125.12 = 3,678.38 : x
  2. Step 2: Convert to fraction form
    5,890.22/8,125.12 = 3,678.38/x
  3. Step 3: Cross multiply
    5,890.22x = 8,125.12 × 3,678.38
  4. Step 4: Simplify right side
    5,890.22x = 29,887,278.91
  5. Step 5: Solve for x
    x = 29,887,278.91/5,890.22
  6. Step 6: Final answer
    x = 5,074.05

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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.