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Finding the Fourth Proportional to 4,254.68, 5,855.34 and 3,505.70

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Solution

The fourth proportional to 4,254.68, 5,855.34 and 3,505.70 is: 4,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.68 : 5,855.34 = 3,505.70 : x
  2. Step 2: Convert to fraction form
    4,254.68/5,855.34 = 3,505.70/x
  3. Step 3: Cross multiply
    4,254.68x = 5,855.34 × 3,505.70
  4. Step 4: Simplify right side
    4,254.68x = 20,527,065.44
  5. Step 5: Solve for x
    x = 20,527,065.44/4,254.68
  6. Step 6: Final answer
    x = 4,824.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.