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Finding the Fourth Proportional to 5,731,717.95, 7,909,770.49 and 3,153,343.36

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Solution

The fourth proportional to 5,731,717.95, 7,909,770.49 and 3,153,343.36 is: 4,351,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731,717.95 : 7,909,770.49 = 3,153,343.36 : x
  2. Step 2: Convert to fraction form
    5,731,717.95/7,909,770.49 = 3,153,343.36/x
  3. Step 3: Cross multiply
    5,731,717.95x = 7,909,770.49 × 3,153,343.36
  4. Step 4: Simplify right side
    5,731,717.95x = 24,942,222,253,765.45
  5. Step 5: Solve for x
    x = 24,942,222,253,765.45/5,731,717.95
  6. Step 6: Final answer
    x = 4,351,613.68

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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.