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Finding the Fourth Proportional to 4,640.52, 6,399.14 and 3,225.81

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Solution

The fourth proportional to 4,640.52, 6,399.14 and 3,225.81 is: 4,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.52 : 6,399.14 = 3,225.81 : x
  2. Step 2: Convert to fraction form
    4,640.52/6,399.14 = 3,225.81/x
  3. Step 3: Cross multiply
    4,640.52x = 6,399.14 × 3,225.81
  4. Step 4: Simplify right side
    4,640.52x = 20,642,393.67
  5. Step 5: Solve for x
    x = 20,642,393.67/4,640.52
  6. Step 6: Final answer
    x = 4,448.29

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