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Finding the Fourth Proportional to 5,678,697.89, 7,836,562.16 and 3,100,378.67

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Solution

The fourth proportional to 5,678,697.89, 7,836,562.16 and 3,100,378.67 is: 4,278,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,697.89 : 7,836,562.16 = 3,100,378.67 : x
  2. Step 2: Convert to fraction form
    5,678,697.89/7,836,562.16 = 3,100,378.67/x
  3. Step 3: Cross multiply
    5,678,697.89x = 7,836,562.16 × 3,100,378.67
  4. Step 4: Simplify right side
    5,678,697.89x = 24,296,310,112,308.43
  5. Step 5: Solve for x
    x = 24,296,310,112,308.43/5,678,697.89
  6. Step 6: Final answer
    x = 4,278,500.21

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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.