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Finding the Fourth Proportional to 3,669,657.60, 5,505,798.60 and 1,540,394.40

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Solution

The fourth proportional to 3,669,657.60, 5,505,798.60 and 1,540,394.40 is: 2,311,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,657.60 : 5,505,798.60 = 1,540,394.40 : x
  2. Step 2: Convert to fraction form
    3,669,657.60/5,505,798.60 = 1,540,394.40/x
  3. Step 3: Cross multiply
    3,669,657.60x = 5,505,798.60 × 1,540,394.40
  4. Step 4: Simplify right side
    3,669,657.60x = 8,481,101,330,967.84
  5. Step 5: Solve for x
    x = 8,481,101,330,967.84/3,669,657.60
  6. Step 6: Final answer
    x = 2,311,142.42

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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.