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Finding the Fourth Proportional to 5,770.45, 7,962.64 and 3,412.45

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Solution

The fourth proportional to 5,770.45, 7,962.64 and 3,412.45 is: 4,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.45 : 7,962.64 = 3,412.45 : x
  2. Step 2: Convert to fraction form
    5,770.45/7,962.64 = 3,412.45/x
  3. Step 3: Cross multiply
    5,770.45x = 7,962.64 × 3,412.45
  4. Step 4: Simplify right side
    5,770.45x = 27,172,110.87
  5. Step 5: Solve for x
    x = 27,172,110.87/5,770.45
  6. Step 6: Final answer
    x = 4,708.84

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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.