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Finding the Fourth Proportional to 5,412.90, 8,119.14 and 2,780.40

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Solution

The fourth proportional to 5,412.90, 8,119.14 and 2,780.40 is: 4,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.90 : 8,119.14 = 2,780.40 : x
  2. Step 2: Convert to fraction form
    5,412.90/8,119.14 = 2,780.40/x
  3. Step 3: Cross multiply
    5,412.90x = 8,119.14 × 2,780.40
  4. Step 4: Simplify right side
    5,412.90x = 22,574,456.86
  5. Step 5: Solve for x
    x = 22,574,456.86/5,412.90
  6. Step 6: Final answer
    x = 4,170.49

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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.