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Finding the Fourth Proportional to 3,539.81, 5,310.33 and 1,074.88

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Solution

The fourth proportional to 3,539.81, 5,310.33 and 1,074.88 is: 1,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.81 : 5,310.33 = 1,074.88 : x
  2. Step 2: Convert to fraction form
    3,539.81/5,310.33 = 1,074.88/x
  3. Step 3: Cross multiply
    3,539.81x = 5,310.33 × 1,074.88
  4. Step 4: Simplify right side
    3,539.81x = 5,707,970.12
  5. Step 5: Solve for x
    x = 5,707,970.12/3,539.81
  6. Step 6: Final answer
    x = 1,612.51

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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.