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Finding the Fourth Proportional to 3,424.53, 4,713.99 and 2,954.01

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Solution

The fourth proportional to 3,424.53, 4,713.99 and 2,954.01 is: 4,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.53 : 4,713.99 = 2,954.01 : x
  2. Step 2: Convert to fraction form
    3,424.53/4,713.99 = 2,954.01/x
  3. Step 3: Cross multiply
    3,424.53x = 4,713.99 × 2,954.01
  4. Step 4: Simplify right side
    3,424.53x = 13,925,173.60
  5. Step 5: Solve for x
    x = 13,925,173.60/3,424.53
  6. Step 6: Final answer
    x = 4,066.30

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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.