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Finding the Fourth Proportional to 5,397, 7,448.17 and 3,039.30

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Solution

The fourth proportional to 5,397, 7,448.17 and 3,039.30 is: 4,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397 : 7,448.17 = 3,039.30 : x
  2. Step 2: Convert to fraction form
    5,397/7,448.17 = 3,039.30/x
  3. Step 3: Cross multiply
    5,397x = 7,448.17 × 3,039.30
  4. Step 4: Simplify right side
    5,397x = 22,637,170.64
  5. Step 5: Solve for x
    x = 22,637,170.64/5,397
  6. Step 6: Final answer
    x = 4,194.40

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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.