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Finding the Fourth Proportional to 4,954.02, 7,432.11 and 1,491

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Solution

The fourth proportional to 4,954.02, 7,432.11 and 1,491 is: 2,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.02 : 7,432.11 = 1,491 : x
  2. Step 2: Convert to fraction form
    4,954.02/7,432.11 = 1,491/x
  3. Step 3: Cross multiply
    4,954.02x = 7,432.11 × 1,491
  4. Step 4: Simplify right side
    4,954.02x = 11,081,276.01
  5. Step 5: Solve for x
    x = 11,081,276.01/4,954.02
  6. Step 6: Final answer
    x = 2,236.83

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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.