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Finding the Fourth Proportional to 5,635.96, 8,455.20 and 1,740.76

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Solution

The fourth proportional to 5,635.96, 8,455.20 and 1,740.76 is: 2,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.96 : 8,455.20 = 1,740.76 : x
  2. Step 2: Convert to fraction form
    5,635.96/8,455.20 = 1,740.76/x
  3. Step 3: Cross multiply
    5,635.96x = 8,455.20 × 1,740.76
  4. Step 4: Simplify right side
    5,635.96x = 14,718,473.95
  5. Step 5: Solve for x
    x = 14,718,473.95/5,635.96
  6. Step 6: Final answer
    x = 2,611.53

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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.