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Finding the Fourth Proportional to 3,643,978.54, 5,465,453.86 and 2,003,167.22

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Solution

The fourth proportional to 3,643,978.54, 5,465,453.86 and 2,003,167.22 is: 3,004,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,978.54 : 5,465,453.86 = 2,003,167.22 : x
  2. Step 2: Convert to fraction form
    3,643,978.54/5,465,453.86 = 2,003,167.22/x
  3. Step 3: Cross multiply
    3,643,978.54x = 5,465,453.86 × 2,003,167.22
  4. Step 4: Simplify right side
    3,643,978.54x = 10,948,218,014,774.47
  5. Step 5: Solve for x
    x = 10,948,218,014,774.47/3,643,978.54
  6. Step 6: Final answer
    x = 3,004,468.30

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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.