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Finding the Fourth Proportional to 5,189.76, 7,784.44 and 1,491.98

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Solution

The fourth proportional to 5,189.76, 7,784.44 and 1,491.98 is: 2,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.76 : 7,784.44 = 1,491.98 : x
  2. Step 2: Convert to fraction form
    5,189.76/7,784.44 = 1,491.98/x
  3. Step 3: Cross multiply
    5,189.76x = 7,784.44 × 1,491.98
  4. Step 4: Simplify right side
    5,189.76x = 11,614,186.14
  5. Step 5: Solve for x
    x = 11,614,186.14/5,189.76
  6. Step 6: Final answer
    x = 2,237.90

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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.