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Finding the Fourth Proportional to 5,190.23, 7,784.17 and 1,491.63

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Solution

The fourth proportional to 5,190.23, 7,784.17 and 1,491.63 is: 2,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.23 : 7,784.17 = 1,491.63 : x
  2. Step 2: Convert to fraction form
    5,190.23/7,784.17 = 1,491.63/x
  3. Step 3: Cross multiply
    5,190.23x = 7,784.17 × 1,491.63
  4. Step 4: Simplify right side
    5,190.23x = 11,611,101.50
  5. Step 5: Solve for x
    x = 11,611,101.50/5,190.23
  6. Step 6: Final answer
    x = 2,237.11

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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.