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Finding the Fourth Proportional to 5,570.82, 7,687.64 and 3,052.82

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Solution

The fourth proportional to 5,570.82, 7,687.64 and 3,052.82 is: 4,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.82 : 7,687.64 = 3,052.82 : x
  2. Step 2: Convert to fraction form
    5,570.82/7,687.64 = 3,052.82/x
  3. Step 3: Cross multiply
    5,570.82x = 7,687.64 × 3,052.82
  4. Step 4: Simplify right side
    5,570.82x = 23,468,981.14
  5. Step 5: Solve for x
    x = 23,468,981.14/5,570.82
  6. Step 6: Final answer
    x = 4,212.84

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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.