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Finding the Fourth Proportional to 4,952,138.81, 6,834,020.91 and 2,991,744.21

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Solution

The fourth proportional to 4,952,138.81, 6,834,020.91 and 2,991,744.21 is: 4,128,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952,138.81 : 6,834,020.91 = 2,991,744.21 : x
  2. Step 2: Convert to fraction form
    4,952,138.81/6,834,020.91 = 2,991,744.21/x
  3. Step 3: Cross multiply
    4,952,138.81x = 6,834,020.91 × 2,991,744.21
  4. Step 4: Simplify right side
    4,952,138.81x = 20,445,642,488,511.43
  5. Step 5: Solve for x
    x = 20,445,642,488,511.43/4,952,138.81
  6. Step 6: Final answer
    x = 4,128,648.91

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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.