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Finding the Fourth Proportional to 4,491.86, 6,733.53 and 1,568.26

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Solution

The fourth proportional to 4,491.86, 6,733.53 and 1,568.26 is: 2,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.86 : 6,733.53 = 1,568.26 : x
  2. Step 2: Convert to fraction form
    4,491.86/6,733.53 = 1,568.26/x
  3. Step 3: Cross multiply
    4,491.86x = 6,733.53 × 1,568.26
  4. Step 4: Simplify right side
    4,491.86x = 10,559,934.17
  5. Step 5: Solve for x
    x = 10,559,934.17/4,491.86
  6. Step 6: Final answer
    x = 2,350.91

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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.