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Finding the Fourth Proportional to 5,755.71, 7,923.68 and 5,491.22

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Solution

The fourth proportional to 5,755.71, 7,923.68 and 5,491.22 is: 7,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.71 : 7,923.68 = 5,491.22 : x
  2. Step 2: Convert to fraction form
    5,755.71/7,923.68 = 5,491.22/x
  3. Step 3: Cross multiply
    5,755.71x = 7,923.68 × 5,491.22
  4. Step 4: Simplify right side
    5,755.71x = 43,510,670.09
  5. Step 5: Solve for x
    x = 43,510,670.09/5,755.71
  6. Step 6: Final answer
    x = 7,559.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.