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Finding the Fourth Proportional to 5,586.88, 7,710.24 and 3,102.88

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Solution

The fourth proportional to 5,586.88, 7,710.24 and 3,102.88 is: 4,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.88 : 7,710.24 = 3,102.88 : x
  2. Step 2: Convert to fraction form
    5,586.88/7,710.24 = 3,102.88/x
  3. Step 3: Cross multiply
    5,586.88x = 7,710.24 × 3,102.88
  4. Step 4: Simplify right side
    5,586.88x = 23,923,949.49
  5. Step 5: Solve for x
    x = 23,923,949.49/5,586.88
  6. Step 6: Final answer
    x = 4,282.17

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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.