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Finding the Fourth Proportional to 5,180, 7,774.32 and 2,444

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Solution

The fourth proportional to 5,180, 7,774.32 and 2,444 is: 3,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180 : 7,774.32 = 2,444 : x
  2. Step 2: Convert to fraction form
    5,180/7,774.32 = 2,444/x
  3. Step 3: Cross multiply
    5,180x = 7,774.32 × 2,444
  4. Step 4: Simplify right side
    5,180x = 19,000,438.08
  5. Step 5: Solve for x
    x = 19,000,438.08/5,180
  6. Step 6: Final answer
    x = 3,668.04

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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.