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Finding the Fourth Proportional to 3,678,782.52, 5,552,729.60 and 3,678,782.52

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Solution

The fourth proportional to 3,678,782.52, 5,552,729.60 and 3,678,782.52 is: 5,552,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678,782.52 : 5,552,729.60 = 3,678,782.52 : x
  2. Step 2: Convert to fraction form
    3,678,782.52/5,552,729.60 = 3,678,782.52/x
  3. Step 3: Cross multiply
    3,678,782.52x = 5,552,729.60 × 3,678,782.52
  4. Step 4: Simplify right side
    3,678,782.52x = 20,427,284,590,766.59
  5. Step 5: Solve for x
    x = 20,427,284,590,766.59/3,678,782.52
  6. Step 6: Final answer
    x = 5,552,729.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.