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Finding the Fourth Proportional to 3,531.87, 5,274.45 and 3,039.80

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Solution

The fourth proportional to 3,531.87, 5,274.45 and 3,039.80 is: 4,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.87 : 5,274.45 = 3,039.80 : x
  2. Step 2: Convert to fraction form
    3,531.87/5,274.45 = 3,039.80/x
  3. Step 3: Cross multiply
    3,531.87x = 5,274.45 × 3,039.80
  4. Step 4: Simplify right side
    3,531.87x = 16,033,246.74
  5. Step 5: Solve for x
    x = 16,033,246.74/3,531.87
  6. Step 6: Final answer
    x = 4,539.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.