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Finding the Fourth Proportional to 5,486,978.20, 8,230,467.30 and 5,382,002.20

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Solution

The fourth proportional to 5,486,978.20, 8,230,467.30 and 5,382,002.20 is: 8,073,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486,978.20 : 8,230,467.30 = 5,382,002.20 : x
  2. Step 2: Convert to fraction form
    5,486,978.20/8,230,467.30 = 5,382,002.20/x
  3. Step 3: Cross multiply
    5,486,978.20x = 8,230,467.30 × 5,382,002.20
  4. Step 4: Simplify right side
    5,486,978.20x = 44,296,393,115,628.06
  5. Step 5: Solve for x
    x = 44,296,393,115,628.06/5,486,978.20
  6. Step 6: Final answer
    x = 8,073,003.30

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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.