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Finding the Fourth Proportional to 4,561.90, 6,839.20 and 4,197.40

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Solution

The fourth proportional to 4,561.90, 6,839.20 and 4,197.40 is: 6,292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.90 : 6,839.20 = 4,197.40 : x
  2. Step 2: Convert to fraction form
    4,561.90/6,839.20 = 4,197.40/x
  3. Step 3: Cross multiply
    4,561.90x = 6,839.20 × 4,197.40
  4. Step 4: Simplify right side
    4,561.90x = 28,706,858.08
  5. Step 5: Solve for x
    x = 28,706,858.08/4,561.90
  6. Step 6: Final answer
    x = 6,292.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.