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Finding the Fourth Proportional to 3,539.93, 5,309.89 and 1,074.76

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Solution

The fourth proportional to 3,539.93, 5,309.89 and 1,074.76 is: 1,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.93 : 5,309.89 = 1,074.76 : x
  2. Step 2: Convert to fraction form
    3,539.93/5,309.89 = 1,074.76/x
  3. Step 3: Cross multiply
    3,539.93x = 5,309.89 × 1,074.76
  4. Step 4: Simplify right side
    3,539.93x = 5,706,841.41
  5. Step 5: Solve for x
    x = 5,706,841.41/3,539.93
  6. Step 6: Final answer
    x = 1,612.14

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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.