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Finding the Fourth Proportional to 5,640,859.20, 7,784,476.80 and 3,193,406.40

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Solution

The fourth proportional to 5,640,859.20, 7,784,476.80 and 3,193,406.40 is: 4,406,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640,859.20 : 7,784,476.80 = 3,193,406.40 : x
  2. Step 2: Convert to fraction form
    5,640,859.20/7,784,476.80 = 3,193,406.40/x
  3. Step 3: Cross multiply
    5,640,859.20x = 7,784,476.80 × 3,193,406.40
  4. Step 4: Simplify right side
    5,640,859.20x = 24,858,998,033,771.52
  5. Step 5: Solve for x
    x = 24,858,998,033,771.52/5,640,859.20
  6. Step 6: Final answer
    x = 4,406,952.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.