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Finding the Fourth Proportional to 5,184.06, 7,770 and 2,404.88

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Solution

The fourth proportional to 5,184.06, 7,770 and 2,404.88 is: 3,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.06 : 7,770 = 2,404.88 : x
  2. Step 2: Convert to fraction form
    5,184.06/7,770 = 2,404.88/x
  3. Step 3: Cross multiply
    5,184.06x = 7,770 × 2,404.88
  4. Step 4: Simplify right side
    5,184.06x = 18,685,917.60
  5. Step 5: Solve for x
    x = 18,685,917.60/5,184.06
  6. Step 6: Final answer
    x = 3,604.49

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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.