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Finding the Fourth Proportional to 5,782,768.22, 7,980,267.69 and 3,204,492.05

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Solution

The fourth proportional to 5,782,768.22, 7,980,267.69 and 3,204,492.05 is: 4,422,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782,768.22 : 7,980,267.69 = 3,204,492.05 : x
  2. Step 2: Convert to fraction form
    5,782,768.22/7,980,267.69 = 3,204,492.05/x
  3. Step 3: Cross multiply
    5,782,768.22x = 7,980,267.69 × 3,204,492.05
  4. Step 4: Simplify right side
    5,782,768.22x = 25,572,704,389,427.54
  5. Step 5: Solve for x
    x = 25,572,704,389,427.54/5,782,768.22
  6. Step 6: Final answer
    x = 4,422,225.38

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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.