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Finding the Fourth Proportional to 4,193.76, 6,290.61 and 1,420.73

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Solution

The fourth proportional to 4,193.76, 6,290.61 and 1,420.73 is: 2,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.76 : 6,290.61 = 1,420.73 : x
  2. Step 2: Convert to fraction form
    4,193.76/6,290.61 = 1,420.73/x
  3. Step 3: Cross multiply
    4,193.76x = 6,290.61 × 1,420.73
  4. Step 4: Simplify right side
    4,193.76x = 8,937,226.89
  5. Step 5: Solve for x
    x = 8,937,226.89/4,193.76
  6. Step 6: Final answer
    x = 2,131.08

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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.