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Finding the Fourth Proportional to 5,396.96, 7,448.12 and 3,039.20

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Solution

The fourth proportional to 5,396.96, 7,448.12 and 3,039.20 is: 4,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.96 : 7,448.12 = 3,039.20 : x
  2. Step 2: Convert to fraction form
    5,396.96/7,448.12 = 3,039.20/x
  3. Step 3: Cross multiply
    5,396.96x = 7,448.12 × 3,039.20
  4. Step 4: Simplify right side
    5,396.96x = 22,636,326.30
  5. Step 5: Solve for x
    x = 22,636,326.30/5,396.96
  6. Step 6: Final answer
    x = 4,194.27

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1.5x scale

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.