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Finding the Fourth Proportional to 5,780,788.59, 7,977,978.14 and 3,203,277.87

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Solution

The fourth proportional to 5,780,788.59, 7,977,978.14 and 3,203,277.87 is: 4,420,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,788.59 : 7,977,978.14 = 3,203,277.87 : x
  2. Step 2: Convert to fraction form
    5,780,788.59/7,977,978.14 = 3,203,277.87/x
  3. Step 3: Cross multiply
    5,780,788.59x = 7,977,978.14 × 3,203,277.87
  4. Step 4: Simplify right side
    5,780,788.59x = 25,555,680,823,205.76
  5. Step 5: Solve for x
    x = 25,555,680,823,205.76/5,780,788.59
  6. Step 6: Final answer
    x = 4,420,794.92

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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.