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Finding the Fourth Proportional to 5,651.76, 8,476.67 and 1,491.81

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Solution

The fourth proportional to 5,651.76, 8,476.67 and 1,491.81 is: 2,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.76 : 8,476.67 = 1,491.81 : x
  2. Step 2: Convert to fraction form
    5,651.76/8,476.67 = 1,491.81/x
  3. Step 3: Cross multiply
    5,651.76x = 8,476.67 × 1,491.81
  4. Step 4: Simplify right side
    5,651.76x = 12,645,581.07
  5. Step 5: Solve for x
    x = 12,645,581.07/5,651.76
  6. Step 6: Final answer
    x = 2,237.46

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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.