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Finding the Fourth Proportional to 3,865,129.60, 5,797,694.40 and 3,534,455.20

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Solution

The fourth proportional to 3,865,129.60, 5,797,694.40 and 3,534,455.20 is: 5,301,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865,129.60 : 5,797,694.40 = 3,534,455.20 : x
  2. Step 2: Convert to fraction form
    3,865,129.60/5,797,694.40 = 3,534,455.20/x
  3. Step 3: Cross multiply
    3,865,129.60x = 5,797,694.40 × 3,534,455.20
  4. Step 4: Simplify right side
    3,865,129.60x = 20,491,691,120,090.88
  5. Step 5: Solve for x
    x = 20,491,691,120,090.88/3,865,129.60
  6. Step 6: Final answer
    x = 5,301,682.80

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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.