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Finding the Fourth Proportional to 4,832.84, 6,668.91 and 4,480.22

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Solution

The fourth proportional to 4,832.84, 6,668.91 and 4,480.22 is: 6,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.84 : 6,668.91 = 4,480.22 : x
  2. Step 2: Convert to fraction form
    4,832.84/6,668.91 = 4,480.22/x
  3. Step 3: Cross multiply
    4,832.84x = 6,668.91 × 4,480.22
  4. Step 4: Simplify right side
    4,832.84x = 29,878,150.62
  5. Step 5: Solve for x
    x = 29,878,150.62/4,832.84
  6. Step 6: Final answer
    x = 6,182.32

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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.