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Finding the Fourth Proportional to 4,193.80, 6,287.10 and 3,756.40

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Solution

The fourth proportional to 4,193.80, 6,287.10 and 3,756.40 is: 5,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.80 : 6,287.10 = 3,756.40 : x
  2. Step 2: Convert to fraction form
    4,193.80/6,287.10 = 3,756.40/x
  3. Step 3: Cross multiply
    4,193.80x = 6,287.10 × 3,756.40
  4. Step 4: Simplify right side
    4,193.80x = 23,616,862.44
  5. Step 5: Solve for x
    x = 23,616,862.44/4,193.80
  6. Step 6: Final answer
    x = 5,631.38

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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.