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Finding the Fourth Proportional to 3,643,002.06, 5,464,765.41 and 1,399,140.06

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Solution

The fourth proportional to 3,643,002.06, 5,464,765.41 and 1,399,140.06 is: 2,098,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643,002.06 : 5,464,765.41 = 1,399,140.06 : x
  2. Step 2: Convert to fraction form
    3,643,002.06/5,464,765.41 = 1,399,140.06/x
  3. Step 3: Cross multiply
    3,643,002.06x = 5,464,765.41 × 1,399,140.06
  4. Step 4: Simplify right side
    3,643,002.06x = 7,645,972,203,633.33
  5. Step 5: Solve for x
    x = 7,645,972,203,633.33/3,643,002.06
  6. Step 6: Final answer
    x = 2,098,810.84

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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.