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Finding the Fourth Proportional to 5,644,201.98, 7,788,992.80 and 3,065,884.78

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Solution

The fourth proportional to 5,644,201.98, 7,788,992.80 and 3,065,884.78 is: 4,230,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644,201.98 : 7,788,992.80 = 3,065,884.78 : x
  2. Step 2: Convert to fraction form
    5,644,201.98/7,788,992.80 = 3,065,884.78/x
  3. Step 3: Cross multiply
    5,644,201.98x = 7,788,992.80 × 3,065,884.78
  4. Step 4: Simplify right side
    5,644,201.98x = 23,880,154,477,049.58
  5. Step 5: Solve for x
    x = 23,880,154,477,049.58/5,644,201.98
  6. Step 6: Final answer
    x = 4,230,917.77

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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.