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Finding the Fourth Proportional to 3,954.02, 5,457.38 and 3,290.22

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Solution

The fourth proportional to 3,954.02, 5,457.38 and 3,290.22 is: 4,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.02 : 5,457.38 = 3,290.22 : x
  2. Step 2: Convert to fraction form
    3,954.02/5,457.38 = 3,290.22/x
  3. Step 3: Cross multiply
    3,954.02x = 5,457.38 × 3,290.22
  4. Step 4: Simplify right side
    3,954.02x = 17,955,964.37
  5. Step 5: Solve for x
    x = 17,955,964.37/3,954.02
  6. Step 6: Final answer
    x = 4,541.20

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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.