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Finding the Fourth Proportional to 4,492.53, 6,738.83 and 2,540.63

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Solution

The fourth proportional to 4,492.53, 6,738.83 and 2,540.63 is: 3,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.53 : 6,738.83 = 2,540.63 : x
  2. Step 2: Convert to fraction form
    4,492.53/6,738.83 = 2,540.63/x
  3. Step 3: Cross multiply
    4,492.53x = 6,738.83 × 2,540.63
  4. Step 4: Simplify right side
    4,492.53x = 17,120,827.27
  5. Step 5: Solve for x
    x = 17,120,827.27/4,492.53
  6. Step 6: Final answer
    x = 3,810.95

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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.