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Finding the Fourth Proportional to 5,647,786.16, 7,794,005.16 and 3,069,467.12

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Solution

The fourth proportional to 5,647,786.16, 7,794,005.16 and 3,069,467.12 is: 4,235,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647,786.16 : 7,794,005.16 = 3,069,467.12 : x
  2. Step 2: Convert to fraction form
    5,647,786.16/7,794,005.16 = 3,069,467.12/x
  3. Step 3: Cross multiply
    5,647,786.16x = 7,794,005.16 × 3,069,467.12
  4. Step 4: Simplify right side
    5,647,786.16x = 23,923,442,571,730.34
  5. Step 5: Solve for x
    x = 23,923,442,571,730.34/5,647,786.16
  6. Step 6: Final answer
    x = 4,235,897.38

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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.