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Finding the Fourth Proportional to 4,193.88, 6,290.82 and 1,420.56

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Solution

The fourth proportional to 4,193.88, 6,290.82 and 1,420.56 is: 2,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.88 : 6,290.82 = 1,420.56 : x
  2. Step 2: Convert to fraction form
    4,193.88/6,290.82 = 1,420.56/x
  3. Step 3: Cross multiply
    4,193.88x = 6,290.82 × 1,420.56
  4. Step 4: Simplify right side
    4,193.88x = 8,936,487.26
  5. Step 5: Solve for x
    x = 8,936,487.26/4,193.88
  6. Step 6: Final answer
    x = 2,130.84

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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.