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Finding the Fourth Proportional to 3,154.53, 4,734.24 and 2,539.74

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Solution

The fourth proportional to 3,154.53, 4,734.24 and 2,539.74 is: 3,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.53 : 4,734.24 = 2,539.74 : x
  2. Step 2: Convert to fraction form
    3,154.53/4,734.24 = 2,539.74/x
  3. Step 3: Cross multiply
    3,154.53x = 4,734.24 × 2,539.74
  4. Step 4: Simplify right side
    3,154.53x = 12,023,738.70
  5. Step 5: Solve for x
    x = 12,023,738.70/3,154.53
  6. Step 6: Final answer
    x = 3,811.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.