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Finding the Fourth Proportional to 5,678,704.66, 7,836,571.44 and 3,100,385.42

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Solution

The fourth proportional to 5,678,704.66, 7,836,571.44 and 3,100,385.42 is: 4,278,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,704.66 : 7,836,571.44 = 3,100,385.42 : x
  2. Step 2: Convert to fraction form
    5,678,704.66/7,836,571.44 = 3,100,385.42/x
  3. Step 3: Cross multiply
    5,678,704.66x = 7,836,571.44 × 3,100,385.42
  4. Step 4: Simplify right side
    5,678,704.66x = 24,296,391,835,364.41
  5. Step 5: Solve for x
    x = 24,296,391,835,364.41/5,678,704.66
  6. Step 6: Final answer
    x = 4,278,509.50

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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.