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Finding the Fourth Proportional to 4,491.58, 6,733.27 and 3,802.68

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Solution

The fourth proportional to 4,491.58, 6,733.27 and 3,802.68 is: 5,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.58 : 6,733.27 = 3,802.68 : x
  2. Step 2: Convert to fraction form
    4,491.58/6,733.27 = 3,802.68/x
  3. Step 3: Cross multiply
    4,491.58x = 6,733.27 × 3,802.68
  4. Step 4: Simplify right side
    4,491.58x = 25,604,471.16
  5. Step 5: Solve for x
    x = 25,604,471.16/4,491.58
  6. Step 6: Final answer
    x = 5,700.55

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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.