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Finding the Fourth Proportional to 5,642,098.64, 7,786,186.66 and 3,194,644.25

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Solution

The fourth proportional to 5,642,098.64, 7,786,186.66 and 3,194,644.25 is: 4,408,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,098.64 : 7,786,186.66 = 3,194,644.25 : x
  2. Step 2: Convert to fraction form
    5,642,098.64/7,786,186.66 = 3,194,644.25/x
  3. Step 3: Cross multiply
    5,642,098.64x = 7,786,186.66 × 3,194,644.25
  4. Step 4: Simplify right side
    5,642,098.64x = 24,874,096,466,254.48
  5. Step 5: Solve for x
    x = 24,874,096,466,254.48/5,642,098.64
  6. Step 6: Final answer
    x = 4,408,660.33

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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.