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Finding the Fourth Proportional to 5,651.82, 8,476.76 and 1,491.87

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Solution

The fourth proportional to 5,651.82, 8,476.76 and 1,491.87 is: 2,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.82 : 8,476.76 = 1,491.87 : x
  2. Step 2: Convert to fraction form
    5,651.82/8,476.76 = 1,491.87/x
  3. Step 3: Cross multiply
    5,651.82x = 8,476.76 × 1,491.87
  4. Step 4: Simplify right side
    5,651.82x = 12,646,259.46
  5. Step 5: Solve for x
    x = 12,646,259.46/5,651.82
  6. Step 6: Final answer
    x = 2,237.56

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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.