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Finding the Fourth Proportional to 5,290.88, 7,936.32 and 4,066.16

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Solution

The fourth proportional to 5,290.88, 7,936.32 and 4,066.16 is: 6,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.88 : 7,936.32 = 4,066.16 : x
  2. Step 2: Convert to fraction form
    5,290.88/7,936.32 = 4,066.16/x
  3. Step 3: Cross multiply
    5,290.88x = 7,936.32 × 4,066.16
  4. Step 4: Simplify right side
    5,290.88x = 32,270,346.93
  5. Step 5: Solve for x
    x = 32,270,346.93/5,290.88
  6. Step 6: Final answer
    x = 6,099.24

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.