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Finding the Fourth Proportional to 5,570.46, 7,687.20 and 3,086.46

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Solution

The fourth proportional to 5,570.46, 7,687.20 and 3,086.46 is: 4,259.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.46 : 7,687.20 = 3,086.46 : x
  2. Step 2: Convert to fraction form
    5,570.46/7,687.20 = 3,086.46/x
  3. Step 3: Cross multiply
    5,570.46x = 7,687.20 × 3,086.46
  4. Step 4: Simplify right side
    5,570.46x = 23,726,235.31
  5. Step 5: Solve for x
    x = 23,726,235.31/5,570.46
  6. Step 6: Final answer
    x = 4,259.30

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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.