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Finding the Fourth Proportional to 3,788,367.84, 5,682,546.81 and 948,479.67

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Solution

The fourth proportional to 3,788,367.84, 5,682,546.81 and 948,479.67 is: 1,422,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788,367.84 : 5,682,546.81 = 948,479.67 : x
  2. Step 2: Convert to fraction form
    3,788,367.84/5,682,546.81 = 948,479.67/x
  3. Step 3: Cross multiply
    3,788,367.84x = 5,682,546.81 × 948,479.67
  4. Step 4: Simplify right side
    3,788,367.84x = 5,389,780,123,108.35
  5. Step 5: Solve for x
    x = 5,389,780,123,108.35/3,788,367.84
  6. Step 6: Final answer
    x = 1,422,718.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.