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Finding the Fourth Proportional to 3,968.96, 5,476.68 and 2,200.32

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Solution

The fourth proportional to 3,968.96, 5,476.68 and 2,200.32 is: 3,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.96 : 5,476.68 = 2,200.32 : x
  2. Step 2: Convert to fraction form
    3,968.96/5,476.68 = 2,200.32/x
  3. Step 3: Cross multiply
    3,968.96x = 5,476.68 × 2,200.32
  4. Step 4: Simplify right side
    3,968.96x = 12,050,448.54
  5. Step 5: Solve for x
    x = 12,050,448.54/3,968.96
  6. Step 6: Final answer
    x = 3,036.17

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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.